Maths placements
美国数学竞赛AMC常用单词
美国数学竞赛(AMC)常用单词美国数学竞赛(AMC)常用单词数学mathematics, maths(BrE), math(AmE)被除数dividend 除数divisor商quotient等于equals, is equal to, is equivalent to大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数natural number公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand加数addend和sum减minus(prep.), subtract(v.), subtraction(n.)被减数minuend减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.)被乘数multiplicand, faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.)整数integer小数decimal小数点decimal point分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimal system二进制binary system十六进制hexadecimal system 权weight, significance进位carry截尾truncation四舍五入round下舍入round down上舍入round up有效数字significant digit无效数字insignificant digit代数algebra公式formula, formulae(pl.)单项式monomial多项式polynomial, multinomial系数coefficient未知数unknown, x-factor, y-factor, z-factor 等式,方程式equation一次方程simple equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequation阶乘factorial对数logarithm指数,幂exponent乘方power二次方,平方square三次方,立方cube四次方the power of four, the fourth power n次方the power of n, the nth power开方evolution, extraction二次方根,平方根square root三次方根,立方根cube root四次方根the root of four, the fourth root n次方根the root of n, the nth root集合aggregate元素element空集void子集subset交集intersection并集union补集complement映射mapping函数function定义域domain, field of definition值域range常量constant变量variable单调性monotonicity奇偶性parity周期性periodicity图象image数列,级数series微积分calculus微分differential导数derivative极限limit无穷大infinite(a.)infinity(n.)无穷小infinitesimal积分integral定积分definite integral不定积分indefinite integral有理数rational number无理数irrational number实数real number虚数imaginary number复数complex number矩阵matrix行列式determinant 几何geometry点point线line面plane体solid线段segment射线radial平行parallel相交intersect角angle角度degree弧度radian锐角acute angle 直角right angle钝角obtuse angle 平角straight angle 周角perigon底base边side高height三角形triangle锐角三角形acute triangle直角三角形right triangle直角边leg斜边hypotenuse勾股定理Pythagorean theorem钝角三角形obtuse triangle不等边三角形scalene triangle等腰三角形isosceles triangle等边三角形equilateral triangle四边形quadrilateral平行四边形parallelogram矩形rectangle长length宽width菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square梯形trapezoid直角梯形right trapezoid等腰梯形isosceles trapezoid五边形pentagon六边形hexagon七边形heptagon八边形octagon九边形enneagon十边形decagon十一边形hendecagon十二边形dodecagon多边形polygon正多边形equilateral polygon圆circle圆心centre(BrE), center(AmE)半径radius直径diameter圆周率pi弧arc半圆semicircle扇形sector环ring椭圆ellipse圆周circumference周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron平行六面体parallelepiped 立方体cube七面体heptahedron八面体octahedron九面体enneahedron十面体decahedron十一面体hendecahedron 十二面体dodecahedron 二十面体icosahedron多面体polyhedron棱锥pyramid棱柱prism棱台frustum of a prism 旋转rotation轴axis圆锥cone圆柱cylinder圆台frustum of a cone球sphere半球hemisphere底面undersurface表面积surface area体积volume空间space坐标系coordinates坐标轴x-axis, y-axis, z-axis 横坐标x-coordinate纵坐标y-coordinate原点origin双曲线hyperbola抛物线parabola三角trigonometry正弦sine余弦cosine正切tangent余切cotangent正割secant余割cosecant反正弦arc sine反余弦arc cosine反正切arc tangent反余切arc cotangent反正割arc secant反余割arc cosecant相位phase周期period振幅amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)内切圆inscribed circle外切圆circumcircle统计statistics平均数average加权平均数weighted average方差variance标准差root-mean-square deviation, standard deviation 比例propotion百分比percent百分点percentage百分位数percentile排列permutation组合combination概率,或然率probability分布distribution正态分布normal distribution非正态分布abnormal distribution 图表graph条形统计图bar graph柱形统计图histogram折线统计图broken line graph曲线统计图curve diagram扇形统计图pie diagram。
【最强干货】GMAT数学词汇表大全
【最强干货】GMAT数学词汇表大全>>>武汉申友GMAT<<<对于中国考生而言,GMAT数学部分的考查内容大部分是中国初高中数学所涉及的内容,所以并不会构成太大的困难。
但因其也会涉及少量统计学中的简单概念,强调数学概念在日常生活中的运用,并且以英文出题,所以中国考生须了解其考查特点,熟悉英文词汇,掌握应试方法和技巧,取得GMAT数学高分还是很容易做到的,武汉申友GMAT老师给大家按知识点分类整理出了数学词汇表。
第一部分:算术&代数arithmetic terms & Algebra:Add (addition) 加Average value 算术平均值Absolute value 绝对值Algebra 代数Algebraic expression 代数式Arithmetic mean 算术平均值Arithmetic progression (sequence)等差数列Approximate 近似Coordinate system 坐标系Abscissa 横坐标Ordinate 纵坐标Monomial 单项式Binomial 二项式Factor 因子Common factor 公因子Common multiple 公倍数Common divisor 公约数Simple fraction =Common fraction 简分数Complex fraction 繁分数Common logarithm 常用对数Common ratio 公比Complex number 复数Complex conjugate 复共轭Composite number 合数Prime number 质数Consecutive number 连续整数Consecutive even(odd) integer 连续偶(奇)数Cross multiply 交叉相乘Coefficient 系数Complete quadratic equation 完全二次方程Complementary function 余函数Constant 常数Decimal 小数Decimal point 小数点Decimal fraction 纯小数Decimal arithmetic 十进制运算Decimal system/decimal scale 十进制=Ordinary scale 十进制Numerator 分子Denominator 分母Difference 差Direct proportion 正比Divide 除Divided evenly 被整除Differential 微分Distinct 不同的Dividend 被除数,红利Division 除法Division sign 除号Divisor 因子,除数Divisible 可被整除的Equivalent fractions 等值分数Equivalent equation 等价方程式Equivalence relation 等价关系Even integer/number 偶数Exponent 指数,幂Equation 方程Equation of the first degree 一次方程Endpoint 端点Estimation 近似Factorable quadratic equation 可因式分解的二次方程Incomplete quadratic equation 不完全二次方程Factorial 阶乘Factorization 因式分解Geometric mean 几何平均数Graph theory 图论Inequality 不等式Improper fraction 假分数Infinite decimal 无穷小数Inverse proportion 反比Irrational number 无理数Infinitesimal calculus 微积分Infinity 无穷大Infinitesimal 无穷小Integerable 可积分的Integral 积分Integral domain 整域Integrand 被积函数Integrating factor 积分因子Inverse function 反函数Inverse/reciprocal 倒数Least common denominator 最小公分母Least common multiple 最小公倍数Literal coefficient 字母系数Like terms 同类项Linear 线性的Minuend 被减数Subtrahend 被减数Mixed decimal 混合小数Mixed number 带分数Minor 子行列式Multiplicand 被乘数Multiplication 乘法Multiplier 乘数Mean 平均数Mode 众数Median 中数Negative (positive) number 负(正)数Null set (empty set) 空集Number theory 数论Number line 数轴Numerical analysis 数值分析Natural logarithm 自然对数Natural number 自然数Nonnegative 非负数Original equation 原方程Ordinal 序数Percentage 百分比Parentheses 括号Polynomial 多项式Power 乘方Product 积Proper fraction 真分数Proportion 比例Permutation 排列Proper subset 真子集Prime factor 质因子Progression 数列Quadrant 象限Quadratic equation 二次方程Quarter 四分之一Ratio 比率Real number 实数Round off 四舍五入Round to 四舍五入Root 根Radical sign 根号Root sign 根号Recurring decimal 循环小数Sequence 数列Similar terms 同类项Tens 十位Tenths 十分位Trinomial 三相式Units 个位Unit 单位Weighted average 加权平均值Union 并集Yard 码Whole number 整数Mutually exclusive 互相排斥Independent events 相互独立事件Probability 概率Combination 组合Standard deviation 标准方差Range 值域Frequency distribution 频率分布Domain 定义域Bar graph 柱图第二部分:几何Geometry terms:Angle bisector 角平分线Adjacent angle 邻角Alternate angel 内错角Acute angle 锐角Obtuse angle 钝角Right angle 直角Bisect 角平分线Adjacent vertices 相邻顶点Complementary angle 余角Straight angle 平角(180度)Supplementary angle 补角Vertical angle 对顶角Arc 弧Altitude 高Arm 直角三角形的股Complex plane 复平面Convex (concave) polygon 凸(凹)多边形Cube 立方体Central angle 圆心角Circle 圆Clockwise 顺时钟方向Counterclockwise 逆时钟方向Chord 弦Circular cylinder 圆柱体Congruent 全等的Corresponding angle 同位角Circumference (perimeter) 周长Concentric circles 同心圆Circle graph 扇面图Cone (V =pai * r^2 * h/3) 圆锥Circumscribe 外切Inscribe 内切Diagonal 对角线Decagon 十边形Hexagon 六边形Nonagon 九边形Octagon 八边形Pentagon 五边形Quadrilateral 四边形Polygon 多边形Diameter 直径Edge 棱Equilateral triangle 等边三角形Exterior (interior) angle 外角/内角Extent 维数Exterior angles on the same side of the transversal同旁外角Hypotenuse 三角形的斜边Intercept 截距Included angle 夹角Intersect 相交Inscribed triangle 内接三角形Isosceles triangle 等腰三角形Right triangle 直角三角形Oblique 斜三角形Scalene triangle 不等边三角形Midpoint 中点Minor axis 短轴Origin 原点Plane geometry 平面几何Oblateness (ellipse) 椭圆Parallelogram 平行四边形Parallel lines 平行线Perpendicular 垂直的Pythagorean theorem 勾股定理Pie chart 扇图Quadrihedron 三角锥Radius 半径Rectangle 长方形Regular polygon 正多边形Rhombus 菱形Trapezoid 梯形Right circular cylinder 直圆柱体Scalene cylinder 斜柱体Rectangular solid=Regular solid/polyhedron 正多面体Regular prism 正棱柱Regular pyramid 正棱锥Slope 斜率Sphere ( surface area=4 pai r^2, V=4 pai r^3 / 3)Side 边长Segment of a circle 弧形Semicircle 半圆Solid 立体Square 正方形,平方Volume 体积Width 宽第三章:数据解释Date InterpretationSector 扇面Table 表格Pie charts 圆形图Bar graphs 条带图Line graphs 线型图Cumulative graphs 累积图Percent 百分比Approximate value 近似值第四章:文字题Word problem terms:Rate 比率Mixture 混合物Measurement 测量方法Data interpretation 数据解释Apiece 每人Per capita 每人Decrease to 减少到Decrease by 减少了Brace 双Cardinal 基数Cent 美分Nickel 五美分Dime 一角Penny 一美分Retail price 零售价Down payment 定金,预付金Principal 本金Discount 折扣Profit 利润=Margin 利润Interest 利息Simple interest 单利Compounded interest 复利Foot 英尺Dozen 打Gross = 12 dozen 罗Gallon = 4 quart 加仑Score 二十Fahrenheit 华氏温度Depth 深度Pint 品脱Common year 平年Intercalary year(leap year) 闰年——申友GMAT原创,未经许可,禁止转载——2017申友长沙/武汉GMAT暑假班热招!。
ib数学英汉词语对照
项目的模式 行动 有原则的行动,既是一种策略又是一 种结果,代表了国际文凭项目致力于通过 对真实世界的实际体验开展教学与学习。 国际文凭学习者在家里开展行动,也在课 堂上、学校中、社区里和更广阔的世界中 开展行动。行动涉及到通过实践进行学 习,加强对自身和他人的学习和了解。国 际文凭世界学校高度评价正直和诚实的行 动和强烈的公平感,尊重个人和集体的 尊严。有原则的行动意味着要做出负责 任的选择,有时包括做出不作为的决 定。个人、组织和群体在探索个人和世 界所面对的伦理道德方面的挑战时,都 可以采取有原则的行动。国际文凭项目 中的行动可能涉及到通过服务进行学 习、开展宣传活动以及针对自己和他人 的教育活动。
Chinese
国际文凭项目的连续统一性/ 连续统一的国际文凭项目 国际文凭职业教育项目(IBCP) 国际文凭大学预科项目(DP) 国际文凭教育 国际文凭中学项目(MYP) 国际文凭组织使命宣言 国际文凭教育理念 国际文凭小学项目(PYP) 国际文凭项目的标准与实施要求 国际文凭信息系统 国际文凭世界学校 国际文凭组织(IB) 国际文凭组织(IBO) 中学项目
中学项目的课程体系框架确立课程的 结构和教学法,它们明确了学生要达 到的目的和目标,并严格地评估学生 达到这些目的和目标的水平。在中学 项目中,课程体系框架最重要的方面 包括:概念性理解、全球背景、教学 方法和学习方法、各学科广泛而平衡 的重要内容。
教学课程 书面课程
Teaching and learning academic honesty broad and balanced conceptual conceptual understanding Concepts have an essential place in the structure of knowledge. They require students to demonstrate levels of thinking that reach beyond facts or topics. Concepts are used to formulate the understandings that students should retain in the future; they become principles and generalizations that students can use to understand the world and to succeed in further study and in life beyond school. The exploration and re-exploration of concepts lead students towards: • deeper understanding of the subject group • appreciation of ideas that transcend disciplinary boundaries
美国AMC8数学考试常用单词
美国数学竞赛amc8的常用数学英语单词数学mathematics, maths(BrE), math(AmE)被除数dividend 除数divisor 商quotient等于equals, is equal to, is equivalent to 大于is greater than 小于is lesser than 大于等于is equal or greater than 小于等于is equal or lesser than 运算符operator 数字digit 数number 自然数natural number 公理axiom 定理theorem 计算calculation 运算operation 证明prove 假设hypothesis, hypotheses(pl.)命题proposition 算术arithmetic 加plus(prep.), add(v.), addition(n.)被加数augend, summand 加数addend 和sum 减minus(prep.), subtract(v.), subtraction(n.)被减数minuend 减数subtrahend 差remainder 乘times(prep.), multiply(v.), multiplication(n.)被乘数multiplicand, faciend 乘数multiplicator 积product 除divided by(prep.), divide(v.), division(n.)整数integer 小数decimal 小数点decimal point 分数fraction 分子numerator 分母denominator比ratio 正positive 负negative 零null, zero, nought, nil 十进制decimal system 二进制binary system十六进制hexadecimal system 权weight, significance 进位carry 截尾truncation 四舍五入round下舍入round down 上舍入round up 有效数字significant digit 无效数字insignificant digit代数algebra 公式formula, formulae(pl.)单项式monomial 多项式polynomial, multinomial系数coefficient 未知数unknown, x-factor, y-factor, z-factor 等式,方程式equation一次方程simple equation 二次方程quadratic equation 三次方程cubic equation 四次方程quartic equation 不等式inequation 阶乘factorial 对数logarithm 指数,幂exponent 乘方power 二次方,平方square 三次方,立方cube 四次方the power of four, the fourth power n次方the power of n, the nth power开方evolution, extraction 二次方根,平方根square root 三次方根,立方根cube root四次方根the root of four, the fourth root n次方根the root of n, the nth root 集合aggregate元素element 空集void 子集subset 交集intersection 并集union 补集complement 映射mapping函数function 定义域domain, field of definition 值域range 常量constant 变量variable单调性monotonicity 奇偶性parity 周期性periodicity 图象image 数列,级数series 微积分calculus微分differential 导数derivative 极限limit 无穷大infinite(a.)infinity(n.)无穷小infinitesimal积分integral 定积分definite integral 不定积分indefinite integral 有理数rational number无理数irrational number 实数real number 虚数imaginary number 复数complex number 矩阵matrix行列式determinant 几何geometry 点point 线line 面plane 体solid 线段segment 射线radial平行parallel 相交intersect 角angle 角度degree 弧度radian 锐角acute angle 直角right angle钝角obtuse angle 平角straight angle 周角perigon 底base 边side 高height 三角形triangle锐角三角形acute triangle 直角三角形right triangle 直角边leg 斜边hypotenuse勾股定理Pythagorean theorem 钝角三角形obtuse triangle 不等边三角形scalene triangle等腰三角形isosceles triangle 等边三角形equilateral triangle 四边形quadrilateral 平行四边形parallelogram矩形rectangle 长length 宽width 菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square梯形trapezoid 直角梯形right trapezoid 等腰梯形isosceles trapezoid 五边形pentagon 六边形hexagon七边形heptagon 八边形octagon 九边形enneagon 十边形decagon 十一边形hendecagon十二边形dodecagon 多边形polygon 正多边形equilateral polygon 圆circle 圆心centre(BrE), center(AmE)半径radius 直径diameter 圆周率pi 弧arc 半圆semicircle 扇形sector 环ring 椭圆ellipse圆周circumference 周长perimeter 面积area 轨迹locus, loca(pl.)相似similar 全等congruent四面体tetrahedron 五面体pentahedron 六面体hexahedron 平行六面体parallelepiped 立方体cube七面体heptahedron 八面体octahedron 九面体enneahedron 十面体decahedron 十一面体hendecahedron十二面体dodecahedron 二十面体icosahedron 多面体polyhedron 棱锥pyramid 棱柱prism棱台frustum of a prism 旋转rotation 轴axis 圆锥cone 圆柱cylinder 圆台frustum of a cone球sphere 半球hemisphere 底面undersurface 表面积surface area 体积volume 空间space坐标系coordinates 坐标轴x-axis, y-axis, z-axis 横坐标x-coordinate 纵坐标y-coordinate 原点origin双曲线hyperbola 抛物线parabola 三角trigonometry 正弦sine 余弦cosine 正切tangent余切cotangent 正割secant 余割cosecant 反正弦arc sine 反余弦arc cosine 反正切arc tangent反余切arc cotangent 反正割arc secant 反余割arc cosecant 相位phase 周期period 振幅amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)内切圆inscribed circle 外切圆circumcircle 统计statistics平均数average 加权平均数weighted average 方差variance 标准差root-mean-square deviation, standard deviation 比例propotion 百分比percent 百分点percentage 百分位数percentile 排列permutation 组合combination 概率,或然率probability 分布distribution 正态分布normal distribution非正态分布abnormal distribution 图表graph 条形统计图bar graph 柱形统计图histogram折线统计图broken line graph 曲线统计图curve diagram 扇形统计图pie diagram。
美国数学大联盟常用英文词汇
美国数学大联盟常用英文词汇一、基础数学词汇1. Arithmetic 算术2. Algebra 代数3. Geometry 几何4. Trigonometry 三角学5. Calculus 微积分6. Statistics 统计学7. Probability 概率论8. Combinatorics 组合数学9. Number theory 数论10. Set theory 集合论二、代数词汇1. Variable 变量2. Equation 方程3. Inequality 不等式4. Function 函数5. Graph 图像6. Polynomial 多项式7. Factorization 因式分解8. Exponent 指数9. Logarithm 对数10. Matrix 矩阵三、几何词汇1. Point 点2. Line 线3. Plane 平面4. Angle 角度5. Triangle 三角形6. Quadrilateral 四边形7. Circle 圆8. Perimeter 周长9. Area 面积10. Volume 体积四、三角学词汇1. Sine 正弦2. Cosine 余弦3. Tangent 正切4. Cosecant 余割5. Secant 正割6. Cotangent 余切7. Arcsine 反正弦8. Arccosine 反余弦9. Arctangent 反正切10. Radian 弧度五、微积分词汇1. Derivative 导数2. Integral 积分3. Limit 极限4. Series 级数5. Sequence 数列6. Differentiation 微分7. Integration 积分8. Differential equation 微分方程9. Taylor series 泰勒级数10. Fourier series 傅里叶级数六、统计学词汇1. Data 数据2. Sample 样本3. Population 总体4. Mean 平均值5. Median 中位数6. Mode 众数7. Standard deviation 标准差8. Variance 方差9. Probability distribution 概率分布10. Hypothesis testing 假设检验七、概率论词汇1. Event 事件2. Probability 概率3. Random variable 随机变量4. Probability space 概率空间5. Conditional probability 条件概率6. Bayes' theorem 贝叶斯定理7. Independence 独立性8. Law of large numbers 大数定律9. Central limit theorem 中心极限定理10. Random walk 随机游走八、组合数学词汇1. Permutation 排列2. Combination 组合3. Binomial coefficient 二项式系数4. Pascal's triangle 帕斯卡三角形5. Catalan number 卡塔兰数6. Fibonacci sequence 斐波那契数列7. Partition 分割8. Graph theory 图论9. Ramsey theory 拉姆齐理论10. Combinatorial design 组合设计九、数论词汇1. Prime number 质数2. Composite number 合数3. Divisor 因数4. GCD 最大公约数5. LCM 最小公倍数6. Modular arithmetic 模运算7. Fermat's little theorem 费马小定理8. Euler's theorem 欧拉定理9. Chinese remainder theorem 中国剩余定理10. RSA encryption RSA加密十、集合论词汇1. Set 集合2. Element 元素3. Union 并集4. Intersection 交集5. Complement 补集6. Power set 幂集7. Cartesian product 笛卡尔积8. Function 函数9. Relation 关系10. Equivalence relation 等价关系美国数学大联盟常用英文词汇一、基础数学词汇1. Arithmetic 算术2. Algebra 代数3. Geometry 几何4. Trigonometry 三角学5. Calculus 微积分6. Statistics 统计学7. Probability 概率论8. Combinatorics 组合数学9. Number theory 数论10. Set theory 集合论二、代数词汇1. Variable 变量2. Equation 方程3. Inequality 不等式4. Function 函数5. Graph 图像6. Polynomial 多项式7. Factorization 因式分解8. Exponent 指数9. Logarithm 对数10. Matrix 矩阵三、几何词汇1. Point 点2. Line 线3. Plane 平面4. Angle 角度5. Triangle 三角形6. Quadrilateral 四边形7. Circle 圆8. Perimeter 周长9. Area 面积10. Volume 体积四、三角学词汇1. Sine 正弦2. Cosine 余弦3. Tangent 正切4. Cosecant 余割5. Secant 正割6. Cotangent 余切7. Arcsine 反正弦8. Arccosine 反余弦9. Arctangent 反正切10. Radian 弧度五、微积分词汇1. Derivative 导数2. Integral 积分3. Limit 极限4. Series 级数5. Sequence 数列6. Differentiation 微分7. Integration 积分8. Differential equation 微分方程9. Taylor series 泰勒级数10. Fourier series 傅里叶级数六、统计学词汇1. Data 数据2. Sample 样本3. Population 总体4. Mean 平均值5. Median 中位数6. Mode 众数7. Standard deviation 标准差8. Variance 方差9. Probability distribution 概率分布10. Hypothesis testing 假设检验七、概率论词汇1. Event 事件2. Probability 概率3. Random variable 随机变量4. Probability space 概率空间5. Conditional probability 条件概率6. Bayes' theorem 贝叶斯定理7. Independence 独立性8. Law of large numbers 大数定律9. Central limit theorem 中心极限定理10. Random walk 随机游走八、组合数学词汇1. Permutation 排列2. Combination 组合3. Binomial coefficient 二项式系数4. Pascal's triangle 帕斯卡三角形5. Catalan number 卡塔兰数6. Fibonacci sequence 斐波那契数列7. Partition 分割8. Graph theory 图论9. Ramsey theory 拉姆齐理论10. Combinatorial design 组合设计九、数论词汇1. Prime number 质数2. Composite number 合数3. Divisor 因数4. GCD 最大公约数5. LCM 最小公倍数6. Modular arithmetic 模运算7. Fermat's little theorem 费马小定理8. Euler's theorem 欧拉定理9. Chinese remainder theorem 中国剩余定理10. RSA encryption RSA加密十、集合论词汇1. Set 集合2. Element 元素3. Union 并集4. Intersection 交集5. Complement 补集6. Power set 幂集7. Cartesian product 笛卡尔积8. Function 函数9. Relation 关系10. Equivalence relation 等价关系十一、数学竞赛相关词汇1. Contest 竞赛2. Problem 问题3. Solution 解答4. Strategy 策略5. Practice 练习6. Challenge 挑战7. Competition 比赛8. Award 奖项9. Medal 奖牌10. Rank 排名十二、数学教育相关词汇1. Curriculum 课程2. Lesson 课3. Exercise 练习4. Homework 作业5. Test 测试6. Assessment 评估7. Instruction 指导8. Resource 资源9. Tool 工具10. Technique 技巧十三、数学研究相关词汇1. Research 研究2. Theory 理论3. Hypothesis 假设4. Proof 证明5. Result 结果6. Experiment 实验7. Observation 观察8. Analysis 分析9. Conclusion 结论10. Publication 发表十四、数学应用相关词汇1. Application 应用2. Model 模型3. Algorithm 算法4. Simulation 模拟5. Optimization 优化6. Data 数据7. Analysis 分析8. Solution 解答9. Design 设计10. Evaluation 评估十五、数学文化相关词汇1. History 历史2. Development 发展3. Influence 影响4. Mathematician 数学家5. Theory 理论6. Concept 概念7. Idea 思想8. Innovation 创新9. Tradition 传统10. Legacy 遗产通过掌握这些常用英文词汇,你将能够更好地理解和参与美国数学大联盟的数学竞赛、教育、研究以及应用等领域的讨论和交流。
小升初入学考试数学术语的英文对照
小升初入学考试数学术语的英文对照加plus(prep.), add(v.), addition(n.)和sum减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend减数subtrahend差difference乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand,乘数multiplication积product除divided by(prep.), divide(v.), division(n.)加法addition减法subtraction乘法multiplication除法division可被整除的数divisible被整除divided evenly被除数dividend除数divisor余数remainder商quotient二加一等于三 2 plus 1 equals 3四减二等于二 4 minus 2 equals 2四乘以五 4 multipliedby 5, 4 times 5二十除以五等于20 divided by 5,等于equals, is equal to, is equivalent to大于is greater than小于is lesser than大于等于is equal orgreater than小于等于is equal orlesser than数字digit数number自然数natural number整数whole number正整数positivewhole number连续整数consecutivenumber奇数odd number偶数even number合数composite number e.g. 4,6,8,9,10,12,14,15…质数prime number e.g.2,3,5,7,11,13,15…倒数inverse reciprocal小数decimal小数点decimal point纯小数decimal fraction无穷小数Infinite decimal循环小数recurring decimal分数fraction真分数proper fraction假分数improper fraction带分数mixed fraction普通分数common fraction简分数simple fraction繁分数complex fraction四分之一quarter四分之三three-quarter三分之一third二分之一half分母denominator公约数common divisor倍数multiple(质)因子(prime) factor公因子common factor比ratio正positive正数positive number负negative零null, zero,零点四zero point four十进制decimal system十位tens个位units二进制binary system进位carry四舍五入round下舍入round down上舍入round up有效数字significantdigit无效数字insignificantdigit最小公倍数the Lowest Common 最大公约数the Highest Common 平均数average近似值approximation估算estimation混合运算Mixed Operation等式equation比ratio比例proportion分子numerator公分母common denominator使乘五次方to raise to the power of five 某数的平方x squared平方根square root立方根cube root比例法rule of three等式,方程式equation未知数unknown数学符号英文对照+plus 加号;正号-minus 减号;负号±plus or minus 正负号×is multiplied by 乘号÷is divided by 除号=isequal to 等于号≠is not equal to 不等于号≈is approximately equal to 约等于号<is less than 小于号>ismore than 大于≤is less than or equal to 小于或等于号≥is more than or equal to 大于或等于号%per cent 百分之…‰per mill 千分之…∝ variesas 与…成比例∷equals,as (proportion) 等于,成比例∠angle 角⌒semicircle 半圆⊙circle 圆○circumference 圆周π pi 圆周率△triangle 三角形⊥perpendicularto 垂直于°degree 度′minute 分″second 秒#number…号℃ Celsiussystem 摄氏度@at 单价二、几何部分英语术语all theangles 所有的角vertical angle 对顶角central angle 圆心角interior angle 内角exterior angle 外角acute angle 锐角obtuse angle 钝角right angle 直角round angle 周角straight angle 平角included angle 夹角triangle 三角形equilateral triangle 等边三角形scalene triangle 不等边三角形isosceles triangle 等腰三角形right triangle 直角三角形obliquetriangle 斜三角形有关收敛的平面图形,除三角形外semicircle 半圆concentric circles 同心圆quadrilateral 四边形pentagon 五边形hexagon 六边形heptagon 七边形octagon 八边形nonagon 九边形decagon 十边形polygon 多边形parallelogram 平行四边形equilateral 等边形plane 平面square 正方形,平方rectangle 长方形regular polygon 正多边形rhombus 菱形trapezoid 梯形其它平面图形arc 弧line, straight line 直线line segment 线段parallel lines 平行线segment of a circle 弧形有关立体图形cube 立方体,立方数rectangular solid 长方体circular cylinder 圆柱体cone 圆锥solid 立体的有关图形上的附属物altitude 高depth 深度width 宽side 边长circumference, perimeter 周长surface area 表面积volume 体积arm 直角三角形的股cross section 横截面center of a circle 圆心chord 弦radius 半径angle bisector 角平分线diagonal 对角线diameter 直径edge 棱face of a solid 立体的面included side 夹边leg 三角形的直角边median of a triangle 三角形的中线base 底边,底数(e.g. 2的5次方,2就是底数)opposite 直角三角形中的对边midpoint 中点endpoint 端点vertex 顶点tangent 切线的transversal 截线intercept 截距有关坐标coordinate system 坐标系rectangular coordinate 直角坐标系origin 原点abscissa 横坐标ordinate 纵坐标number line 数轴plane geometry 平面几何trigonometry 三角学bisect 平分intersect 相交perpendicular 垂直multilateral 多边的其它1、单位类cent 美分dollar 美圆pound 英镑penny 一美分硬币nickel 5美分硬币dime 一角硬币dozen 打(12个)score 廿(20个)Centigrade 摄氏Fahrenheit 华氏yard 码meter 米micron 微米inch 英寸foot 英尺minute 分(角度的度量单位,60分=1度) square measure 平方单位制cubic meter 立方米有关数学题目文字叙述题:相遇:meet / encounter / bump into追击:catch up with / catch / overtake/打折discount利息interest减少到decrease to增加到list price直接付款down payment / pay总共total涨价make up利润profit每人per capita比率ratio零售价retail price数据numbers / statistics上升:rise / increase / jump/ go up 下降:go down/ drop /波动go up and down / fluctuate。
美国“数学大联盟杯赛”常用英文词汇
美国“数学大联盟杯赛”(中国赛区)初赛常用英文词汇$美元符号Aacute 锐角的add 计算…总和/加,做加法addition 加,加法adjacent angle 邻角adjacent 邻近的altitude (尤指海拔)高度A.M. 上午amount 数量angle 角arc 弧,弓形area 范围,区域,面积arithmetic 算术,算法arithmetic sequence 等差数列arrangement 排列assume 假定average 平均,平均数/平均的Bbag 袋子base 底billion 十亿/十亿的bisector 二等分线,平分线blond 白肤金发碧眼的Ccalculate 计算calculation 计算capacity 容量cent 美分center 中心/中央的centimeter 厘米circular 圆形的circle 圆周,圆circumference 圆周column 列common 共通的, 公约的congruent 全等的constant 常数/不变的coordinate 坐标corner 角count 数,计算/计数,计算cousin 堂[表]兄弟,堂[表]姊妹crate 箱子cross 交叉的cube 立方体,立方cubic 立方体的,立方的cylindrical 圆柱的Ddecimal 十进制的,小数的/小数define 定义degree 度数denominator 分母determine 确定diagonal 对角线的,对角线diagram 图表diameter 直径diamond 菱形difference 差额digit 阿拉伯数字dime (美元)十美分dimension 尺寸divide 除division 除法divisor 除数,约数dollar (符号为$) 美元double 两倍/使加倍Eeight 八,第八eighteen 十八的,十八个的equal 相等的/等于equation 方程式,等式equilateral 等边的/等边形equivalent 相等的,相当的/相等estimate 估计evaluate 估计,求…的值even 偶数的/偶数example 例子,例题expansion 展开express 表达,表示expression 式,表达式,符号exterior 外部的Fface 表面factor因子,因数female 女的,雌性的fifteen 十五fifth 第五的figure 圆形find 得到first 首先,第一/第一的five 五,五个formula 公式forklift 铲车four 四,四个fraction 分数function 函数Ggeometrical 几何学的,几何的geometric sequence 等比数列graph 图表greatest common divisor 最大公约数,最大公因子Hhalf 一半/一半的hectare 公顷(等于1万平方米) height 高度,海拔hexagon 六角形,六边形horizontal 水平的how 多少,多么hundred 百,百个hyperbola 双曲线hypotenuse 直角三角形之斜边Iinequality 不等式infinite 无限的,无数的inscribe 使内切integer 整数interior 内部的intersect 相交,交叉intersection 交集,交叉点isosceles等腰三角形Kkilometer 千米,公里Lleast common multiple 最小公倍数length 长度less 少的,小的lift 举起,使升起,提起,抬起line segment 线段line 直线liter 公升Mmale 男的,雄性的map 地图,图mark 记号,符号,标记mass 质量mathematics 数学maximum 最大量/最大极限的mean 平均的/平均数measure 测量meter 米,公尺midpoint 中点,正中央million 百万,百万个minimum 最小的,最低的mixed number 带分数multiply 乘Nnatural number 自然数negative 负数/负的nickel (美元)五美分nine 九,九个ninety 九十number 数,数字numerator 分子numerical 数字的,用数表示的Ooctagon 八边形,八角形odd 奇数的one 一,一个operation 运算Pparabola 抛物线parallel 平行的parallelogram 平行四边形penny 一美分pentagon 五角形,五边形per 每一percent 百分比,百分数percentage 百分比,百分数,百分率perfect cube 完全立方perfect square 完全平方perimeter 周长,周界perpendicular 垂直的,正交的plus 加上P.M. 下午point 点,分数polygon 多变形,多角形polynomial 多项式positive 正的prime 质数prism 棱柱probability 概率product 乘积proportion 比例pyramid 角锥,棱锥Qquadrilateral 四边形quarter 四分之一,二十五(美分) quotient 商Rradius半径ratio 比,比率real number 实数reciprocal 倒数,倒数的rectangle长方形,矩形rectangular矩形的,成直角的region 区域regular 等边的remainder 余数rhombus 菱形,斜方形right 直角的root根rotation 旋转,轮转,循环row 行Ssatisfy 满足scale 比例second 秒/第二sector 扇形segment 段semi 半sequence 数学sequence 数列,序列series 连续,系列,级数seven 七,七个seventh 第七shape 外形side 边sign 符号simplify 简化six 六,六个size 大小,尺寸slope 斜率solid 立体solution 解答,解决sphere 球,球体,范围square root 平方根square 正方形straight 直的subtract 减去,减subtraction 减少sum 总和suppose 假设surface 表面surface area 表面积symmetric 对称性的Tten 十,十个tenth 第十,十分之一term 项third 第三,三分之一thousand 一千,一千个three 三time 次,度,回,倍trapezoid 梯形triangle 三角形tub 桶twelve 十二twenty 二十,二十个two 二,两个tangent 切线,相切的than 与…相比较total 总数/总的triple 三倍数twice 两次,两倍Vvalue 值variable 变数/变量的vertex 顶点vertical 垂直的volume 体积Wwidth 宽度Zzero 零点,零。
数学术语 出国必备
arithmetic n.算术augend n.被加数average n.平均数axiom n.公理axis n.轴base n.底calculation n.计算calculus n.微积分carry n.进位center n.圆心abscissa n.横坐标add v.加addend n.加数addition n.加aggregate n.集合algebra n.代数amplitude n.振幅angle n.角arc n.弧area n.面积centre n.圆心circle n.圆circumference n.圆周coefficient n.系数combination n.组合cone n.圆锥congruent n.全等constant n.常量coordinate n.坐标cosine n.余弦cotangent n.余切cube n.三次方,立方;立方体cylinder n.圆柱decimal n.小数degree n.角度denominator n.分母derivative n.导数determinant n.行列式diameter n.直径diamond n.菱形difference n.差differential n.微分digit n.数字;个位;十分位distribution n.分布divide v.除dividend n.除divisor n.除数domain n.定义域element n.元素ellipse n.椭圆equation n.等式,方程式evolution n.开方exponent n.指数,幂factor n.因数factorial n.&adj.阶乘(的)formula n.公式fraction n.分数function n.函数geometry n.几何graph n.图表height n.高hemisphere n.半球hexagon n.六边形hexahedron n.六面体hyperbola n.双曲线hypotenuse n.斜边hypothesis n.假设image n.图象infinitesimal n.无穷小integer n.整数integral n.积分intersect n.相交intersection n.交集length n.长limit n.极限line n.线locus n.轨迹logarithm n.对数mapping n.映射matrix n.矩阵minuend n.被减数minus v.减monotonicity n.单调性multinomial n.多项式multiple n.倍数multiplicand n.被乘数multiplication n.乘multiplier n.乘数multiply v.乘negative adj.负的nil n.零nought n.零null n.零number n.数numerator n.分子octahedron n.八面体operation n.运算operator n.运算符ordinate n.纵坐标origin n.原点parabola n.抛物线parallel n.平行parallelogram n.平行四边形parity n.奇偶性pentagon n.五边形per capita n.每人percent n.百分比percentage n.百分点percentile n. 百分位(数);百分位(数)之一perimeter n.周长period n.周期periodicity n.周期性permutation n.排列phase n.相位plane n.面plus n.加point n.点polygon n.多边形polyhedron n.多面体polynomial n.多项式positive n.正prism n.棱柱probability n.概率,或然率product n.积;乘积proposition n.命题prove n.证明pyramid v.棱锥quadrant n.象限quadrilateral n.四边形quotient n.商radial n.射线radian n.弧度radius n.半径range n.值域ratio n.比real number n.实数rectangle n.矩形remainder n.差;余数rhombus n.菱形ring n.环rotation n.旋转round n.四舍五入secant n.正割sector n.扇形segment n.线段semicircle n.半圆sequence n.数列series n.数列,级数set n.集合side n.边significance n.权similar n.相似sine n.正弦slope n.斜率solid n.体space n.空间sphere n.球square n.二次方,平方;正方形statistics n.统计subset n.子集subtract v.减subtraction n.减subtrahend n.减数sum n.和tangent n.正切tetrahedron n.四面体theorem n.定理times v.乘trapezoid n.梯形triangle n.三角形trigonometry n.三角union n.并集unknown n.未知数variable n.变量variance n.方差volume n.体积weight n.权width n.宽x-axis n.坐标轴zero n.零complement n.补集divisible n.可整除的extraction n.开方histogram n.柱形统计图intercede n.截距irrational n.无理数adj.不合理的,荒谬的leg n.直角边loca n.轨迹multiplicator n.乘数octagon n.八边形parallelepiped n.平行六面体pi n.圆周率power n.乘方rhomb n.菱形solution n.(方程的)解tenth n.十分位undersurface n.底面void n.空集x-coordinate n.横坐标z-axis n. Z轴barycentre n.重心cosecant n.余割decagon n.十边形heptagon n.七边形icosahedron n.二十面体incenter n.内心inequation n.不等式y-axis n. Y轴,纵坐标轴。
美国数学竞赛AMC常用单词
美国数学竞赛A M C常用单词集团标准化工作小组 #Q8QGGQT-GX8G08Q8-GNQGJ8-MHHGN#美国数学竞赛(AMC)常用单词美国数学竞赛(AMC)常用单词数学 mathematics, maths(BrE), math(AmE)被除数 dividend 除数 divisor商 quotient等于 equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于 is equal or greater than小于等于 is equal or lesser than运算符 operator数字 digit数 number自然数 natural number公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.)命题 proposition算术 arithmetic加 plus(prep.), add(v.), addition(n.)被加数 augend, summand加数 addend和 sum减 minus(prep.), subtract(v.), subtraction(n.)被减数 minuend减数 subtrahend差 remainder乘 times(prep.), multiply(v.), multiplication(n.)被乘数 multiplicand, faciend乘数 multiplicator积 product除 divided by(prep.), divide(v.), division(n.)整数 integer小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制 hexadecimal system 权 weight, significance进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字 significant digit无效数字 insignificant digit代数 algebra公式 formula, formulae(pl.)单项式 monomial多项式 polynomial, multinomial系数 coefficient未知数 unknown, x-factor, y-factor, z-factor 等式,方程式 equation一次方程 simple equation二次方程 quadratic equation三次方程 cubic equation四次方程 quartic equation不等式 inequation阶乘 factorial对数 logarithm指数,幂 exponent乘方 power二次方,平方 square三次方,立方 cube四次方 the power of four, the fourth power n次方 the power of n, the nth power开方 evolution, extraction二次方根,平方根 square root三次方根,立方根 cube root四次方根 the root of four, the fourth root n次方根 the root of n, the nth root集合 aggregate元素 element空集 void子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain, field of definition值域 range常量 constant变量 variable单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列,级数 series微积分 calculus微分 differential导数 derivative极限 limit无穷大 infinite(a.) infinity(n.)无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral有理数 rational number无理数 irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant 几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle 直角 right angle钝角 obtuse angle 平角 straight angle 周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem钝角三角形 obtuse triangle不等边三角形 scalene triangle等腰三角形 isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width菱形 rhomb, rhombus, rhombi(pl.), diamond 正方形 square梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon圆 circle圆心 centre(BrE), center(AmE)半径 radius直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped 立方体 cube七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体 hendecahedron 十二面体 dodecahedron 二十面体 icosahedron多面体 polyhedron棱锥 pyramid棱柱 prism棱台 frustum of a prism 旋转 rotation轴 axis圆锥 cone圆柱 cylinder圆台 frustum of a cone球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space坐标系 coordinates坐标轴 x-axis, y-axis, z-axis 横坐标 x-coordinate纵坐标 y-coordinate原点 origin双曲线 hyperbola抛物线 parabola三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant相位 phase周期 period振幅 amplitude内心 incentre(BrE), incenter(AmE)外心 excentre(BrE), excenter(AmE)旁心 escentre(BrE), escenter(AmE)垂心 orthocentre(BrE), orthocenter(AmE)重心 barycentre(BrE), barycenter(AmE)内切圆 inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差 root-mean-square deviation, standard deviation 比例 propotion百分比 percent百分点 percentage百分位数 percentile排列 permutation组合 combination概率,或然率 probability分布 distribution正态分布 normal distribution非正态分布 abnormal distribution 图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图 broken line graph曲线统计图 curve diagram扇形统计图 pie diagram。
美国AMC数学联赛常用英语词汇
美国AMC数学联赛常用英语词汇数学 mathematics, maths(BrE), math(AmE)被除数 dividend除数 divisor商 quotient等于 equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于 is equal or greater than小于等于 is equal or lesser than运算符 operator数字 digit数 number自然数 natural number公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.)命题 proposition算术 arithmetic加 plus(prep.), add(v.), addition(n.)被加数 augend, summand加数 addend和 sum减 minus(prep.), subtract(v.), subtraction(n.)被减数 minuend减数 subtrahend差 remainder乘 times(prep.), multiply(v.), multiplication(n.)被乘数 multiplicand, faciend乘数 multiplicator积 product除 divided by(prep.), divide(v.), division(n.)整数 integer小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制 hexadecimal system权 weight, significance进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字 significant digit无效数字 insignificant digit代数 algebra公式 formula, formulae(pl.)单项式 monomial多项式 polynomial, multinomial系数 coefficient未知数 unknown, x-factor, y-factor, z-factor 等式,方程式 equation一次方程 simple equation二次方程 quadratic equation三次方程 cubic equation四次方程 quartic equation不等式 inequation阶乘 factorial对数 logarithm指数,幂 exponent乘方 power二次方,平方 square三次方,立方 cube四次方 the power of four, the fourth powern次方 the power of n, the nth power开方 evolution, extraction二次方根,平方根 square root三次方根,立方根 cube root四次方根 the root of four, the fourth rootn次方根 the root of n, the nth root集合 aggregate元素 element空集 void子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain, field of definition 值域 range常量 constant变量 variable单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列,级数 series微积分 calculus微分 differential导数 derivative极限 limit无穷大 infinite(a.) infinity(n.)无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral有理数 rational number无理数 irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem钝角三角形 obtuse triangle不等边三角形 scalene triangle等腰三角形 isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width菱形 rhomb, rhombus, rhombi(pl.), diamond 正方形 square梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon圆 circle圆心 centre(BrE), center(AmE)半径 radius直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped立方体 cube七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体 hendecahedron十二面体 dodecahedron二十面体 icosahedron多面体 polyhedron棱锥 pyramid棱柱 prism棱台 frustum of a prism旋转 rotation轴 axis圆锥 cone圆柱 cylinder圆台 frustum of a cone球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space坐标系 coordinates坐标轴 x-axis, y-axis, z-axis 横坐标 x-coordinate纵坐标 y-coordinate原点 origin双曲线 hyperbola抛物线 parabola三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant相位 phase周期 period振幅 amplitude内心 incentre(BrE), incenter(AmE)外心 excentre(BrE), excenter(AmE)旁心 escentre(BrE), escenter(AmE)垂心 orthocentre(BrE), orthocenter(AmE)重心 barycentre(BrE), barycenter(AmE)内切圆 inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差 root-mean-square deviation, standard deviation 比例 propotion百分比 percent百分点 percentage百分位数 percentile排列 permutation组合 combination概率,或然率 probability分布 distribution正态分布 normal distribution非正态分布 abnormal distribution图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图 broken line graph曲线统计图 curve diagram扇形统计图 pie diagram。
AMC数学词汇
美国数学竞赛AMC 10 的常用数学英语单词1. 有关数学运算product 积divide除dividend 被除数quotient商remainder 余数divisible可被整除的divided evenly 被整除divisor 因子,除数factorial阶乘power 乘方round to/to the nearest四舍五入2. 有关集合union 并集intersection交集proper subset 真子集solution set解集3. 有关代数式、方程和不等式algebraic term 代数项similar terms同类项literal coefficient字母系数numerical coefficient数字系数range 值域factorization因式分解original equation原方程equivalent equation同解方程,等价方程linear equation线性方程inequality不等式4. 有关分数和小数排列组合permutation 排列combination 组合quadrilateral四边形pentagon 五边形hexagon 六边形heptagon 七边形octagon 八边形nonagon 九边形decagon 十边形polygon 多边形multilateral多边的parallelogram 平行四边形mixed number 带分数simple fraction简分数complex fraction 繁分数numerator 分子denominator 分母(least)common denominator(最小)公分母quarter 四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal 循环小数places位(thousands’place,hundreds’place,tens’place,units’place(ones’digit),tenths’place,hundredths’place,thousandths’place.)5. 基本数学概念arithmetic mean 算术平均值 geometric mean 几何平均数 weighted average 加权平均值 exponent 指数,幂base 乘幂的底数,底边powers 幂cube 立方数,立方体square root 平方根cube root 立方根digit 阿拉伯数字constant常数variable变量6.有关数论natural number 自然数integer/whole number 整数 nonnegative 非负的distinct不同的equilateral等边形square 正方形rectangle长方形regular polygon 正多边形rhombus 菱形trapezoid梯形congruent 全等的isosceles triangle等腰三角形equilateral triangle 等边三角形scalene triangle 不等边三角形right triangle直角三角形even integer 偶数real number / rationalnumber 实数,有理数irrational(number)无理数consecutive 连续数inverse / reciprocal 倒数composite number 合数prime number 质数common divisor 公约数multiple 倍数(least) common multiple(最小)公倍数(prime)factor (质)因子common factor 公因子统计mode众数median 中数standard error 标准偏差standard variation 标准方差standard deviation 标准差7.数列arithmeticprogression(sequence) 等差数列geometricprogression(sequence)等比数列8.比例direct proportion正比indirect proportion反比proportion比例ratio比值9. 概率approximate 近似estimation 估计,近似inscribed triangle内接三角形hypotenuse 斜边leg 直角边included side夹边arm 直角三角形的股median of a triangle 三角形的中线opposite 直角三角形中的对边altitude(三角形的)高vertex 顶点base 底circle圆形semicircle半圆concentric circles同心圆cross section横截面center of a circle圆心chord 弦diameter 直径radius半径circumference 圆周长add,plus 加subtract减difference差multiply,times乘product 积divide除divisible可被整除的dividedevenly 被整除dividend 被除数divisor 因子,除数quotient商remainder 余数factorial阶乘power 乘方radicalsign,rootsign根号roundto 四舍五入tothenearest四舍五入2.有关集合union 并集proper subset 真子集solution set解集3. 有关代数式、方程和不等式literal coefficient字母系数inequality不等式triangle inequality三角不等式range 值域original equation原方程equivalent equation 同解方程等价方程linear equation线性方程(e.g.5 x+6=22)4. 有关分数和小数proper fraction真分数improper fraction 假分数mixed number 带分数vulgar fraction,commonfraction普通分数simple fraction简分数complex fraction 繁分数arc弧surface area表面积radian 弧度(弧长/半径)segment of a circle弧形 point oftangency 切点tangent 正切inscribe内切,内接circumscribe 外切,外接edge 边numerator 分子denominator 分母(least)common denominator(最小)公分母quarter 四分之一decimal fraction纯小数infinite decimal无穷小数 recurring decimal循环小数tenthsunit十分位5.基本数学概念arithmetic mean 算术平均值 weighted average 加权平均值 geometric mean几何平均数 exponent 指数,幂base 乘幂的底数,底边cube 立方数,立方体square root 平方根cube root 立方根common logarithm 常用对数digit数字constant常数variable变量inversefunction反函数complementary function 余函数 linear 一次的,线性的6. 有关数论natural number 自然数positive number 正数negative number 负数odd integer,odd number 奇数 even integer,even number 偶数integer,whole number 整数positive whole number 正整数 negative whole number 负整数 consecutive number 连续整数 rea lnumber,rational number 实数,有理数irrational(number)无理数vertex 顶点cube 立方体rectangular solid长方体length长width 宽altitude高inverse倒数composite number 合数e.g.4,6,8,9,10,12,14,15……prime number 质数e.g.2,3,5,7,11,13,15……reciprocal倒数common divisor 公约数multiple倍数(least)common multiple(最小)公倍数(prime)factor(质)因子common factor 公因子ordinaryscale,decimalscale十进制nonnegative 非负的tens 十位units个位mode 众数median 中数common ratio 公比7. 数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列ordinal序数directproportion正比distinct不同的estimation 估计,近似parentheses 括号proportion比例permutation 排列combination 组合table表格trigonometric function三角函数unit单位,位几何部分1.所有的角2alternate angle内错角corresponding angle 同位角vertical angle对顶角central angle圆心角interior angle内角exterior angle外角supplement aryangles 补角complement aryangle 余角adjacent angle邻角acute angle 锐角obtuse angle 钝角right angle直角round angle 周角straight angle平角included angle 夹角2. 所有的三角形equilateral triangle等边三角形scalene triangle 不等边三角形isosceles triangle等腰三角形right triangle直角三角形oblique 斜三角形inscribed triangle内接三角形3. 有关收敛的平面图形,除三角形外semicircle半圆concentric circles同心圆quadrilateral四边形pentagon 五边形hexagon 六边形heptagon 七边形octagon 八边形nonagon 九边形decagon 十边形polygon 多边形square 正方形,平方rectangle长方形regular polygon 正多边形rhombus 菱形trapezoid梯形4. 其它平面图形arc弧line,straight line直线line segment 线段parallel lines平行线segment of a circle弧形5. 有关立体图形cube 立方体,立方数rectangular solid长方体regular solid/regular polyhedron正多面体circular cylinder圆柱体cone 圆锥sphere 球体solid立体的6. 有关图形上的附属物altitude高depth 深度side边长circumference,perimeter周长 radian弧度surface area表面积volume 体积arm 直角三角形的股cros ssection横截面center of acircle圆心chord 弦radius半径angle bisector 角平分线diagonal 对角线diameter 直径edge 棱face of a solid立体的面hypotenuse 斜边included side夹边leg 三角形的直角边medianofatriangle三角形的中线 base 底边,底数(e.g.2 的5 次方,2就是底数)opposite 直角三角形中的对midpoint边中点transversal截线intercept截距7. 有关坐标coordinate system 坐标系rectangularcoordinate直角坐标系origin原点abscissa横坐标ordinate纵坐标numberline 数轴quadrant 象限slope 斜率complex plane 复平面8. 其它plane geometry 平面几何trigonometry 三角学bisect平分circumscribe 外切inscribe内切intersect相交perpendicular 垂直pythagorean theorem 勾股定理congruent 全等的multilateral多边的其它1.单位类cent 美分penny 一美分硬币nickel5 美分硬币dime 一角硬币dozen 打(12 个)score 廿(20 个)Centigrade 摄氏Fahrenheit 华氏quart 夸脱gallon加仑(1gallon=4quart)yard 码meter 米micron 微米inch 英寸foot 英尺minute 分(角度的度量单位, 60分=1 度)squaremeasure 平方单位制cubicmeter 立方米pint品脱(干量或液量的单)位商 quotient等于equals, is equal to,is equivalent to大于 is greater than小于is lesser than大于等于is equal or greaterthan小于等于is equal or lesserthan运算符 operator数字 digit数 number自然数natural number公理 axiom定理 theorem计算calculation运算 operation3证明 prove假设hypothesis, hypotheses (pl.)命题 proposition算术arithmetic加 plus(prep.) , add(v.), addition(n.)被加数augend, summand加数 addend和 sum减minus(prep.) , subtract (v.), subtraction(n.)被减数 minuend减数 subtrahend差 remainder乘times(prep.),multiply(v.), multiplication(n.)被乘数multiplicand, faciend 乘数multiplicator积 product除divided by(prep.),divide (v.),division(n.)整数integer小数 decimal小数点 decimal point分数 fraction分子numerator分母 denominator比ratio正 positive负negative零 null, zero, nought, nil十进制decimal system 二进制binary system十六进制hexadecimalsystem权 weight, significance进位 carry截尾 truncation四舍五入round下舍入round down上舍入round up有效数字 significant digit无效数字insignificant digit代数 algebra公式 formula, formulae(pl.)单项式monomial多项式polynomial,multinomial系数 coefficient未知数unknown, x-factor, y-factor,z-factor等式,方程式equation一次方程二次方程三次方程四次方程simple equationquadraticequation cubicequationquartic equation不等式inequation阶乘 factorial对数 logarithm指数,幂exponent乘方 power二次方,平方square三次方,立方cube四次方 the power of four,thepowerthe power of n, thenthpower开方 evolution,extraction 二次方根,平方根square root三次方根,立方根cuberoot 四次方根the rootof four, the fourth rootn 次方根 the root of n, thenthfourthn 次方root 集合元素空集子集交集并集补集映射函数aggregateelement void subset intersection union complementmapping function定义域domain, field of definition值域 range常量 constant变量 variable单调性monotonicity奇偶性 parity周期性periodicity图象 image数列,级数series微积分 calculus微分 differential导数 derivative 极限limit无穷大infinite(a.)infinity无穷小infinitesimal积分integral定积分definite integral不定积分indefinite integral有理数rational number无理数irrational number实数real number虚数 imaginary number复数 complex number矩阵matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段射线平行相交segmentradialparallelintersect角 angle角度弧度锐角直角钝角degreeradianacuteangleright angleobtuseanglestraightangleperigon平角周角底 base 边 side 高height 三角形 triangle锐角三角形acute triangle 直角三角形right triangle 直角边leg斜边hypotenuse勾股定理Pythagoreantheorem钝角三角形obtuse triangle 不等边三角形scalenetriangle等腰三角形isoscelestriangle等边三角形equilateraltriangle四边形 quadrilateral平行四边形parallelogram矩形rectangle长length宽 width(n.)4菱形rhomb, rhombus, rhombi(pl.), diamond正方形 square梯形 trapezoid直角梯形right trapezoid等腰梯形isosceles trapezoid五边形六边形七边形八边形九边形十边形pentag on hexago n heptag on octago n enneag on decago n十一边形hendecagon十二边形 dodecagon多边形 polygon正多边形equilateral polygon 圆 circle圆心centre(BrE), center (AmE)半径radius直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring 椭圆圆周周长面积ellipsecircumferenceperimeterarea轨迹 locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体hexahedron平行六面体parallelepiped立方体七面体八面体九面体十面体cubeheptahedronoctahedronenneahedrondecahedron十一面体hendecahedron十二面体 dodecahedron 二十面体icosahedron 多面体polyhedron棱锥棱柱棱台旋pyramidprismfrustum of aprism rotation转轴 axis圆锥 cone圆柱 cylinder圆台 frustum of a cone 球 sphere半球hemisphere底面undersurface表面积 surface area体积 volume空间 space坐标系坐标轴横坐标纵坐标coordinatesx-axis,y-axis,z-axis x-coordinatey-coordinate原点 origin双曲线hyperbola 抛物线parabola三角正弦余弦正切余切正割余trigonometry sinecosinetangentcotangentsecantcosecant割反正弦反余弦反正切反余切反正割反余割arc sinearc cosinearc tangentarccotangentarc secantarccosecant相位 phase周期 period振幅 amplitude内心incentre(BrE),incenter(AmE)外心 excentre(BrE) ,excenter(AmE)旁心 escentre(BrE) ,escenter(AmE)垂心 orthocentre(BrE) ,orthocenter(AmE)重心barycentre(BrE) ,barycenter(AmE)内切圆inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weightedaverage方差 variance标准差root-mean-square deviation,standard deviation比例 propotion百分比percent百分点percentage 百分位数percentile 排列permutation组合 combination 概率,或然率probability 分布 distribution正态分布normal distribution 非正态分布abnormaldistribution图表 graph条形统计 bar graph柱形统计图折线统计图曲线统计图扇形统计图histogrambroken lineraph curvediagram piediagram5。
数学专业词汇及翻译
一、字母顺序表 (1)二、常用的数学英语表述 (7)三、代数英语(高端) (13)一、字母顺序表1、数学专业词汇Aabsolute value 绝对值 accept 接受 acceptable region 接受域additivity 可加性 adjusted 调整的 alternative hypothesis 对立假设analysis 分析 analysis of covariance 协方差分析 analysis of variance 方差分析 arithmetic mean 算术平均值 association 相关性 assumption 假设 assumption checking 假设检验availability 有效度average 均值Bbalanced 平衡的 band 带宽 bar chart 条形图beta-distribution 贝塔分布 between groups 组间的 bias 偏倚 binomial distribution 二项分布 binomial test 二项检验Ccalculate 计算 case 个案 category 类别 center of gravity 重心 central tendency 中心趋势 chi-square distribution 卡方分布 chi-square test 卡方检验 classify 分类cluster analysis 聚类分析 coefficient 系数 coefficient of correlation 相关系数collinearity 共线性 column 列 compare 比较 comparison 对照 components 构成,分量compound 复合的 confidence interval 置信区间 consistency 一致性 constant 常数continuous variable 连续变量 control charts 控制图 correlation 相关 covariance 协方差 covariance matrix 协方差矩阵 critical point 临界点critical value 临界值crosstab 列联表cubic 三次的,立方的 cubic term 三次项 cumulative distribution function 累加分布函数 curve estimation 曲线估计Ddata 数据default 默认的definition 定义deleted residual 剔除残差density function 密度函数dependent variable 因变量description 描述design of experiment 试验设计 deviations 差异 df.(degree of freedom) 自由度 diagnostic 诊断dimension 维discrete variable 离散变量discriminant function 判别函数discriminatory analysis 判别分析distance 距离distribution 分布D-optimal design D-优化设计Eeaqual 相等 effects of interaction 交互效应 efficiency 有效性eigenvalue 特征值equal size 等含量equation 方程error 误差estimate 估计estimation of parameters 参数估计estimations 估计量evaluate 衡量exact value 精确值expectation 期望expected value 期望值exponential 指数的exponential distributon 指数分布 extreme value 极值F factor 因素,因子 factor analysis 因子分析 factor score 因子得分 factorial designs 析因设计factorial experiment 析因试验fit 拟合fitted line 拟合线fitted value 拟合值 fixed model 固定模型 fixed variable 固定变量 fractional factorial design 部分析因设计 frequency 频数 F-test F检验 full factorial design 完全析因设计function 函数Ggamma distribution 伽玛分布 geometric mean 几何均值 group 组Hharmomic mean 调和均值 heterogeneity 不齐性histogram 直方图 homogeneity 齐性homogeneity of variance 方差齐性 hypothesis 假设 hypothesis test 假设检验Iindependence 独立 independent variable 自变量independent-samples 独立样本 index 指数 index of correlation 相关指数 interaction 交互作用 interclass correlation 组内相关 interval estimate 区间估计 intraclass correlation 组间相关 inverse 倒数的iterate 迭代Kkernal 核 Kolmogorov-Smirnov test柯尔莫哥洛夫-斯米诺夫检验 kurtosis 峰度Llarge sample problem 大样本问题 layer 层least-significant difference 最小显著差数 least-square estimation 最小二乘估计 least-square method 最小二乘法 level 水平 level of significance 显著性水平 leverage value 中心化杠杆值 life 寿命 life test 寿命试验 likelihood function 似然函数 likelihood ratio test 似然比检验linear 线性的 linear estimator 线性估计linear model 线性模型 linear regression 线性回归linear relation 线性关系linear term 线性项logarithmic 对数的logarithms 对数 logistic 逻辑的 lost function 损失函数Mmain effect 主效应 matrix 矩阵 maximum 最大值 maximum likelihood estimation 极大似然估计 mean squared deviation(MSD) 均方差 mean sum of square 均方和 measure 衡量 media 中位数 M-estimator M估计minimum 最小值 missing values 缺失值 mixed model 混合模型 mode 众数model 模型Monte Carle method 蒙特卡罗法 moving average 移动平均值multicollinearity 多元共线性multiple comparison 多重比较 multiple correlation 多重相关multiple correlation coefficient 复相关系数multiple correlation coefficient 多元相关系数 multiple regression analysis 多元回归分析multiple regression equation 多元回归方程 multiple response 多响应 multivariate analysis 多元分析Nnegative relationship 负相关 nonadditively 不可加性 nonlinear 非线性 nonlinear regression 非线性回归 noparametric tests 非参数检验 normal distribution 正态分布null hypothesis 零假设 number of cases 个案数Oone-sample 单样本 one-tailed test 单侧检验 one-way ANOVA 单向方差分析 one-way classification 单向分类 optimal 优化的optimum allocation 最优配制 order 排序order statistics 次序统计量 origin 原点orthogonal 正交的 outliers 异常值Ppaired observations 成对观测数据paired-sample 成对样本parameter 参数parameter estimation 参数估计 partial correlation 偏相关partial correlation coefficient 偏相关系数 partial regression coefficient 偏回归系数 percent 百分数percentiles 百分位数 pie chart 饼图 point estimate 点估计 poisson distribution 泊松分布polynomial curve 多项式曲线polynomial regression 多项式回归polynomials 多项式positive relationship 正相关 power 幂P-P plot P-P概率图predict 预测predicted value 预测值prediction intervals 预测区间principal component analysis 主成分分析 proability 概率 probability density function 概率密度函数 probit analysis 概率分析 proportion 比例Qqadratic 二次的 Q-Q plot Q-Q概率图 quadratic term 二次项 quality control 质量控制 quantitative 数量的,度量的 quartiles 四分位数Rrandom 随机的 random number 随机数 random number 随机数 random sampling 随机取样random seed 随机数种子 random variable 随机变量 randomization 随机化 range 极差rank 秩 rank correlation 秩相关 rank statistic 秩统计量 regression analysis 回归分析regression coefficient 回归系数regression line 回归线reject 拒绝rejection region 拒绝域 relationship 关系 reliability 可*性 repeated 重复的report 报告,报表 residual 残差 residual sum of squares 剩余平方和 response 响应risk function 风险函数 robustness 稳健性 root mean square 标准差 row 行 run 游程run test 游程检验Sample 样本 sample size 样本容量 sample space 样本空间 sampling 取样 sampling inspection 抽样检验 scatter chart 散点图 S-curve S形曲线 separately 单独地 sets 集合sign test 符号检验significance 显著性significance level 显著性水平significance testing 显著性检验 significant 显著的,有效的 significant digits 有效数字 skewed distribution 偏态分布 skewness 偏度 small sample problem 小样本问题 smooth 平滑 sort 排序 soruces of variation 方差来源 space 空间 spread 扩展square 平方 standard deviation 标准离差 standard error of mean 均值的标准误差standardization 标准化 standardize 标准化 statistic 统计量 statistical quality control 统计质量控制 std. residual 标准残差 stepwise regression analysis 逐步回归 stimulus 刺激 strong assumption 强假设 stud. deleted residual 学生化剔除残差stud. residual 学生化残差 subsamples 次级样本 sufficient statistic 充分统计量sum 和 sum of squares 平方和 summary 概括,综述Ttable 表t-distribution t分布test 检验test criterion 检验判据test for linearity 线性检验 test of goodness of fit 拟合优度检验 test of homogeneity 齐性检验 test of independence 独立性检验 test rules 检验法则 test statistics 检验统计量 testing function 检验函数 time series 时间序列 tolerance limits 容许限total 总共,和 transformation 转换 treatment 处理 trimmed mean 截尾均值 true value 真值 t-test t检验 two-tailed test 双侧检验Uunbalanced 不平衡的 unbiased estimation 无偏估计 unbiasedness 无偏性 uniform distribution 均匀分布Vvalue of estimator 估计值 variable 变量 variance 方差 variance components 方差分量 variance ratio 方差比 various 不同的 vector 向量Wweight 加权,权重 weighted average 加权平均值 within groups 组内的ZZ score Z分数2. 最优化方法词汇英汉对照表Aactive constraint 活动约束 active set method 活动集法 analytic gradient 解析梯度approximate 近似 arbitrary 强制性的 argument 变量 attainment factor 达到因子Bbandwidth 带宽 be equivalent to 等价于 best-fit 最佳拟合 bound 边界Ccoefficient 系数 complex-value 复数值 component 分量 constant 常数 constrained 有约束的constraint 约束constraint function 约束函数continuous 连续的converge 收敛 cubic polynomial interpolation method三次多项式插值法 curve-fitting 曲线拟合Ddata-fitting 数据拟合 default 默认的,默认的 define 定义 diagonal 对角的 direct search method 直接搜索法 direction of search 搜索方向 discontinuous 不连续Eeigenvalue 特征值 empty matrix 空矩阵 equality 等式 exceeded 溢出的Ffeasible 可行的 feasible solution 可行解 finite-difference 有限差分 first-order 一阶GGauss-Newton method 高斯-牛顿法 goal attainment problem 目标达到问题 gradient 梯度 gradient method 梯度法Hhandle 句柄 Hessian matrix 海色矩阵Independent variables 独立变量inequality 不等式infeasibility 不可行性infeasible 不可行的initial feasible solution 初始可行解initialize 初始化inverse 逆 invoke 激活 iteration 迭代 iteration 迭代JJacobian 雅可比矩阵LLagrange multiplier 拉格朗日乘子 large-scale 大型的 least square 最小二乘 least squares sense 最小二乘意义上的 Levenberg-Marquardt method 列文伯格-马夸尔特法line search 一维搜索 linear 线性的 linear equality constraints 线性等式约束linear programming problem 线性规划问题 local solution 局部解M medium-scale 中型的 minimize 最小化 mixed quadratic and cubic polynomialinterpolation and extrapolation method 混合二次、三次多项式内插、外插法multiobjective 多目标的Nnonlinear 非线性的 norm 范数Oobjective function 目标函数 observed data 测量数据 optimization routine 优化过程optimize 优化 optimizer 求解器 over-determined system 超定系统Pparameter 参数 partial derivatives 偏导数 polynomial interpolation method 多项式插值法Qquadratic 二次的 quadratic interpolation method 二次内插法 quadratic programming 二次规划Rreal-value 实数值 residuals 残差 robust 稳健的 robustness 稳健性,鲁棒性S scalar 标量 semi-infinitely problem 半无限问题 Sequential Quadratic Programming method 序列二次规划法 simplex search method 单纯形法 solution 解 sparse matrix 稀疏矩阵 sparsity pattern 稀疏模式 sparsity structure 稀疏结构 starting point 初始点 step length 步长 subspace trust region method 子空间置信域法 sum-of-squares 平方和 symmetric matrix 对称矩阵Ttermination message 终止信息 termination tolerance 终止容限 the exit condition 退出条件 the method of steepest descent 最速下降法 transpose 转置Uunconstrained 无约束的 under-determined system 负定系统Vvariable 变量 vector 矢量Wweighting matrix 加权矩阵3 样条词汇英汉对照表Aapproximation 逼近 array 数组 a spline in b-form/b-spline b样条 a spline of polynomial piece /ppform spline 分段多项式样条Bbivariate spline function 二元样条函数 break/breaks 断点Ccoefficient/coefficients 系数cubic interpolation 三次插值/三次内插cubic polynomial 三次多项式 cubic smoothing spline 三次平滑样条 cubic spline 三次样条cubic spline interpolation 三次样条插值/三次样条内插 curve 曲线Ddegree of freedom 自由度 dimension 维数Eend conditions 约束条件 input argument 输入参数 interpolation 插值/内插 interval取值区间Kknot/knots 节点Lleast-squares approximation 最小二乘拟合Mmultiplicity 重次 multivariate function 多元函数Ooptional argument 可选参数 order 阶次 output argument 输出参数P point/points 数据点Rrational spline 有理样条 rounding error 舍入误差(相对误差)Sscalar 标量 sequence 数列(数组) spline 样条 spline approximation 样条逼近/样条拟合spline function 样条函数 spline curve 样条曲线 spline interpolation 样条插值/样条内插 spline surface 样条曲面 smoothing spline 平滑样条Ttolerance 允许精度Uunivariate function 一元函数Vvector 向量Wweight/weights 权重4 偏微分方程数值解词汇英汉对照表Aabsolute error 绝对误差 absolute tolerance 绝对容限 adaptive mesh 适应性网格Bboundary condition 边界条件Ccontour plot 等值线图 converge 收敛 coordinate 坐标系Ddecomposed 分解的 decomposed geometry matrix 分解几何矩阵 diagonal matrix 对角矩阵 Dirichlet boundary conditions Dirichlet边界条件Eeigenvalue 特征值 elliptic 椭圆形的 error estimate 误差估计 exact solution 精确解Ggeneralized Neumann boundary condition 推广的Neumann边界条件 geometry 几何形状geometry description matrix 几何描述矩阵 geometry matrix 几何矩阵 graphical user interface(GUI)图形用户界面Hhyperbolic 双曲线的Iinitial mesh 初始网格Jjiggle 微调LLagrange multipliers 拉格朗日乘子Laplace equation 拉普拉斯方程linear interpolation 线性插值 loop 循环Mmachine precision 机器精度 mixed boundary condition 混合边界条件NNeuman boundary condition Neuman边界条件 node point 节点 nonlinear solver 非线性求解器 normal vector 法向量PParabolic 抛物线型的 partial differential equation 偏微分方程 plane strain 平面应变 plane stress 平面应力 Poisson's equation 泊松方程 polygon 多边形 positive definite 正定Qquality 质量Rrefined triangular mesh 加密的三角形网格 relative tolerance 相对容限 relative tolerance 相对容限 residual 残差 residual norm 残差范数Ssingular 奇异的二、常用的数学英语表述1.Logic∃there exist∀for allp⇒q p implies q / if p, then qp⇔q p if and only if q /p is equivalent to q / p and q are equivalent2.Setsx∈A x belongs to A / x is an element (or a member) of Ax∉A x does not belong to A / x is not an element (or a member) of AA⊂B A is contained in B / A is a subset of BA⊃B A contains B / B is a subset of AA∩B A cap B / A meet B / A intersection BA∪B A cup B / A join B / A union BA\B A minus B / the diference between A and BA×B A cross B / the cartesian product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equals signx = 5 x equals 5 / x is equal to 5x≠5x (is) not equal to 5x≡y x is equivalent to (or identical with) yx ≡ y x is not equivalent to (or identical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is less than yx≤y x is less than or equal to y0 < x < 1 zero is less than x is less than 10≤x≤1zero is less than or equal to x is less than or equal to 1| x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubedx 4 x to the fourth / x to the power fourx n x to the nth / x to the power nx −n x to the (power) minus nx (square) root x / the square root of xx 3 cube root (of) xx 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯ x barx ˜x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i4. Linear algebra‖ x ‖the norm (or modulus) of xOA →OA / vector OAOA ¯ OA / the length of the segment OAA T A transpose / the transpose of AA −1 A inverse / the inverse of A5. Functionsf( x ) fx / f of x / the function f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with r espect to xf'''( x ) triple-prime x / f triple-dash x / the third derivative of f with respect to xf (4) ( x ) f four x / the fourth derivative of f with respect to x∂f ∂ x 1the partial (derivative) of f with respect to x1∂ 2 f ∂ x 1 2the second partial (derivative) of f with respect to x1∫ 0 ∞the integral from zero to infinitylimx→0 the limit as x approaches zerolimx→0 + the limit as x approaches zero from abovelimx→0 −the limit as x approaches zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) ylny log y to the base e / log to the base e of y / natural log (of) y一般词汇数学mathematics, maths(BrE), math(AmE)公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand加数addend和sum减minus(prep.), subtract(v.), subtraction(n.)被减数minuend减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.)被乘数multiplicand, faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.)被除数dividend除数divisor商quotient等于equals, is equal to, is equivalent to 大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数natural number整数integer小数decimal小数点decimal point分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimal system二进制binary system十六进制hexadecimal system权weight, significance进位carry截尾truncation四舍五入round下舍入round down上舍入round up有效数字significant digit无效数字insignificant digit代数algebra公式formula, formulae(pl.)单项式monomial多项式polynomial, multinomial系数coefficient未知数unknown, x-factor, y-factor, z-factor 等式,方程式equation一次方程simple equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequation阶乘factorial对数logarithm指数,幂exponent乘方power二次方,平方square三次方,立方cube四次方the power of four, the fourth power n次方the power of n, the nth power开方evolution, extraction二次方根,平方根square root三次方根,立方根cube root四次方根the root of four, the fourth root n次方根the root of n, the nth root集合aggregate元素element空集void子集subset交集intersection并集union补集complement映射mapping函数function定义域domain, field of definition值域range常量constant变量variable单调性monotonicity奇偶性parity周期性periodicity图象image数列,级数series微积分calculus微分differential导数derivative极限limit无穷大infinite(a.) infinity(n.)无穷小infinitesimal积分integral定积分definite integral不定积分indefinite integral有理数rational number无理数irrational number实数real number虚数imaginary number复数complex number矩阵matrix行列式determinant几何geometry点point线line面plane体solid线段segment射线radial平行parallel相交intersect角angle角度degree弧度radian锐角acute angle直角right angle钝角obtuse angle平角straight angle周角perigon底base边side高height三角形triangle锐角三角形acute triangle直角三角形right triangle直角边leg斜边hypotenuse勾股定理Pythagorean theorem钝角三角形obtuse triangle不等边三角形scalene triangle等腰三角形isosceles triangle等边三角形equilateral triangle四边形quadrilateral平行四边形parallelogram矩形rectangle长length宽width附:在一个分数里,分子或分母或两者均含有分数。
2020下半学期七年级数学课程设计英文版
2020下半学期七年级数学课程设计英文版Title: Design of 7th Grade Mathematics Curriculum for the Second Half of 2020Introduction:In designing the 7th grade mathematics curriculum for the second half of 2020, the focus will be on engaging students with interactive and practical learning experiences. The curriculum will aim to build upon the foundational mathematical concepts learned in the first half of the year while introducing new challenges and opportunities for growth.Learning Objectives:1. To deepen students' understanding of basic mathematical operations such as addition, subtraction, multiplication, and division.2. To introduce students to more complex mathematical concepts including algebraic expressions, geometry, and data analysis.3. To enhance students' problem-solving skills through real-world applications and mathematical puzzles.4. To promote critical thinking and logical reasoning in mathematical contexts.Curriculum Structure:1. Review of Basic Operations: The curriculum will begin with a review of basic mathematical operations to ensure students have a solid foundation to build upon.2. Introduction to Algebra: Students will be introduced to algebraic expressions and equations, helping them develop problem-solving skills and logical reasoning.3. Exploration of Geometry: The curriculum will include lessons on geometric shapes, angles, and measurements to broaden students' understanding of spatial concepts.4. Data Analysis: Students will learn how to collect, analyze, and interpret data to make informed decisions and draw meaningful conclusions.5. Application of Mathematics: Throughout the curriculum, students will engage in real-world applications of mathematical concepts to demonstrate the practical relevance of what they are learning.Assessment and Evaluation:1. Regular quizzes and tests will be used to assess students' understanding of the material covered in each unit.2. Problem-solving tasks and projects will be assigned to evaluate students' ability to apply mathematical concepts in real-world scenarios.3. Feedback and guidance will be provided to help students identify areas for improvement and work towards mastery of mathematical skills.Conclusion:The design of the 7th grade mathematics curriculum for the second half of 2020 is focused on providing students with a comprehensive and engaging learning experience. By incorporating a mix of foundational concepts, new challenges, and practical applications, the curriculum aims to foster a deeper understanding and appreciation of mathematics among students.。
教师素质与学生学业成绩的关系研究
教师素质与学生学业成绩的关系研究引言教师素质一直以来都是教育研究的焦点之一。
教师的教学能力和教育背景不仅直接影响学生的学习效果,还对学生的学业成绩产生深远的影响。
因此,研究教师素质与学生学业成绩之间的关系对于优化教育教学质量具有重要意义。
一、教师专业知识教师专业知识是教师素质的重要组成部分。
一位教师掌握扎实的学科知识能够更好地理解教材内容,并将其转化为有针对性的教学策略。
研究表明,教师的专业知识水平与学生学习成绩密切相关。
一方面,优秀的教师能够提供全面准确的知识解释,帮助学生消除学习困惑;另一方面,他们也能将学科知识与实际生活相结合,激发学生学习的兴趣和动力。
二、教师教育背景教师教育背景是教师素质的重要指标之一。
良好的教育背景不仅有助于教师培养正确的教育理念和态度,还能提升教师教学的水平。
研究发现,具备高学历的教师通常在教育技巧和教学方法方面更具优势;同时,他们也更有可能获得持续的专业发展机会,不断提升自身教学水平。
因此,教师的教育背景对于学生的学习成绩有着明显的影响。
三、教师教学能力教师教学能力是教师素质的核心要素之一。
一位优秀的教师不仅仅是知识的传递者,更是指导学生思考和探索的引导者。
他们能够创造积极的学习环境,激发学生的自主学习能力,培养学生的创新思维和解决问题的能力。
研究表明,掌握有效的教学策略和方法的教师能够在教学中提供更多的支持和指导,促进学生学习效果的提升。
四、教师情感关怀教师情感关怀是教师素质中常常被忽视的一部分。
情感关怀是指教师对学生的关心、理解和支持。
研究发现,有着良好情感关怀的教师与学生之间建立起了亲密的、积极的师生关系,学生在这样的环境中更易获得学习动力和自信心,有利于学生学业成绩的提升。
五、教师专业发展教师专业发展是保持和提高教师素质的重要途径。
教师通过参加专业培训、研修会议以及教育研究等方式不断提升自身的教学水平和专业素养。
研究显示,不断学习和进修的教师更具教学热情,能够及时掌握最新的教育理念和教学方法,从而提高学生的学习效果和学业成绩。
place value数学
place value数学Place value数学是我们在日常生活中都会接触到的一种数学概念。
这种数学概念可以帮助我们理解数字的构成和运算,也是我们进行高级数学计算的基础。
下面,我们来详细了解place value数学的概念、运用以及技巧。
一、概念Place value数学是数学中的一种概念,是指每个数字在一个数中所处的位置所代表的数值。
这个数字的数量级是按照10的幂次递增的,每个位置表示的数值是上一位位置的数值的十倍,因此,第一个位置的数值是1,第二个位置的数值是10,第三个位置的数值是100,以此类推。
例如:在数字123中,第一位(个位)代表3,第二位(十位)代表的是2乘以10,即20,第三位(百位)代表的是1乘以100,即100。
二、运用Place value数学的核心应用是基于位值的运算,如加法、减法、乘法和除法等。
1.加法:在相加的两个数中,对应同一位上的数字相加,若和小于10,则结果为该位的和数值;若和大于等于10,则结果为该位加上进位数后的个位数。
例如:将123和456相加,在个位3和6相加时,和为9,没有进位;在十位2和5相加时,和为7,也没有进位;在百位1和4相加时,和为5,也没有进位。
因此,答案为579。
2.减法:在相减的两个数中,对应同一位上的数字相减,若被减数小于减数,则需要向左边高位借位,将借位后的值减去减数。
例如:将456减去123,在个位上6减去3等于3,在十位上5减去2等于3,在百位上4减去1等于3。
因此,答案为333。
3.乘法:将两个或多个数字进行乘法的时候,可以从每个数字的个位开始相乘,将每两个相邻的数的乘积加起来,得到的结果表示在相应的位置上的积数。
例如:将23乘以5,从个位开始,将5乘以3等于15,将5乘以2等于10,在它前一位上直接加上1,得到的结果为115。
4.除法:在进行除法运算的时候,可以从高位到低位的顺序进行计算,先得到商的最高位,在用高位下的余数和被除数的下一位进行计算,迭代得到商和余数。
2020七年级下学期数学教学路线英文版
2020七年级下学期数学教学路线英文版2020 7th Grade Second Semester Math Teaching RoadmapIn the second semester of the 2020 school year, the focus for 7th-grade math instruction will be on building upon the foundational concepts learned in the first semester. The goal is to deepen understanding and prepare students for more complex math topics in the future.1. Review and Reinforcement: The first part of the semester will involve reviewing key concepts from the first semester, such as fractions, decimals, and basic algebra. This will ensure that students have a strong foundation to build upon.2. Introduction to Geometry: The second part of the semester will introduce students to the basics of geometry, including shapes, angles, and area. Hands-on activities and visual aids will be used to make these abstract concepts more concrete for students.3. Problem-Solving Skills: Throughout the semester, a focus will be placed on developing students' problem-solving skills. This will involve presenting students with real-world math problems that require critical thinking and creativity to solve.4. Interactive Learning: To keep students engaged, interactive learning activities will be incorporated into lessons. This may include group projects, math games, and online simulations to reinforce learning objectives.5. Assessment and Feedback: Regular assessments will be conducted to track student progress and identify areas for improvement. Feedback will be provided to students to help them understand their strengths and weaknesses in math.6. Parent Involvement: Parents will be encouraged to support their child's learning at home by reviewing math concepts covered in class and helping with homework assignments. Regular communicationbetween teachers and parents will be maintained to ensure student success.By following this roadmap, students will be well-prepared for the challenges of 8th-grade math and beyond. The focus on building a strong foundation, developing problem-solving skills, and engaging students in interactive learning activities will help foster a love for math and ensure academic success.。
美国高中数学测试题 MathPlacement
What math course did you take this year, and what is your average grade at the time you are taking this test? ______________________________________________________________________________
Calculator Use: It is important to note that all Emma Willard mathematics students will use the Texas Instruments TI-84 PLUS Graphing Calculator in all of our courses. These may be purchased at cost in our school store. While we teach students to use their calculators proficiently, we also stress the need to recognize problems that do not need a calculator and may require students to solve those problems without one. For this reason, on these placement tests we ask that you do as many problems as possible without the use of a calculator. On the Level One test, NO calculators are allowed.
高中留学数学英语词汇
高中留学数学英语词汇高中,对于各学科所涉及的词汇都应该要掌握好。
下面是的高中数学,欢送阅读!assume that:假设approximation:近似,近似值absolute value:绝对值acute:锐(角)adjacent angle:邻角alternate angles:内错角angle:角area:面积arithmetic sequence:等差数列assumption:假设asymptote:渐近线at random:随机地average:平均的axis:轴base:底面,底数be inscribed in:内接于binomial:二项式circle:圆circumference:周长clockwise:顺时针的mon difference:(等差数列的)公差mon divisor:公约数mon ratio:(等比数列的)公比mon multiple:公倍数posite number:合数cone:圆锥congruent:全等的constant:不变的;常数coordinate:坐标cube:立方体cube root:立方根cylinder:圆柱体decimal:小数diagonal:对角线digit:数字,位divide:除divisible:可整除的domain:定义域eentricity:离心率elipse:椭圆equilateral:等边的even:偶的expotent:指数fraction:分数function:函数geometric sequence:等比数列hyperbola:双曲线。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
Bank of EnglandThe Bank of England is the central bank of the United Kingdom. It is responsible for ensuring monetary stability and for contributing to financial stability.Summer Internship 2012As the country’s central bank, we play a fundamental role in the UK economy - ensuring monetary stability and contributing to financial stability. Our work is complex, high profile and truly fascinating. It makes headlines and has an impact on the entire nation. And it touches every aspect of daily life.Upon joining the Bank, many people are surprised by just how friendly, welcoming and open our environment is. It’s not the only surprising thing about us. So take a closer look, and see the Bank differently.We offer 6-8 week undergraduate internships during the summer for first degree students in their penultimate year. We accept applications from students from all degree disciplines. The main focus of your summer will be an individual research project. The range of projects is broad but will involve collecting and analysing data and working closely with Bank staff. Previous projects have included: the relationship between the housing market and consumption; and alternative trading systems in equity markets.In addition you will have the opportunity to attend a variety of high-profile meetings and you may observe the pre-Monetary Policy Committee and pre-Financial Stability board. Seminars are also often given by prestigious academic speakersQualifications: At least 300 UCAS points from three A-levels or equivalent (excluding General Studies). We are happy to accept mitigating circumstances and/or work experience in lieu of UCAS points. It is essential that candidates have, or are expected to achieve, a 2:1 classification. We accept applications from any degree discipline.Number of positions available: 6How to apply: Applications should be submitted online at Website: Recruitment website: Closing date: 14/11/2011countries. But we are much more than just accountants – and so are the people that work for us. We’re a complex, ambitious organisation, helping over 40,000 clients in the UK alone to improve their financial performance and manage risk through our specialised business advisory services. It's not just what we do, but the way we do it and our passion for business that sets us apart as a firm. Our people constantly strive to add value by fostering strong working relationships, listening critically and digging down to the core issues for each client to provide the kind of clarity and strategic business advice that takes them from where they are to where they want to be.12 Month PlacementOur placement programme offers you the chance to gain extensive experience of working for an ambitious and dynamic organization with clients across all sectors and industries. We encourage you to take ownership and drive your own development from the outset, defining your own career path and growing our business and those of our clients at the same time. We hope candidates for sandwich placements will be seriously considering a permanent position with the firm, and as such, you'll see first-hand the opportunities open to you. Our size and down-to-earth, supportive culture means that this is a place where your opinions matter, and asking questions and getting involved are as much a part of the skill set you’ll need for a fast-track career, as the experience you’ll gain. Number of positions available: 30How to apply: Find out more and apply online at /graduatesWebsite: /graduatesRecruitment website: /careersClosing date: 29/02/2012countries. But we are much more than just accountants – and so are the people that work for us. We’re a com plex, ambitious organisation, helping over 40,000 clients in the UK alone to improve their financial performance and manage risk through our specialised business advisory services. It's not just what we do, but the way we do it and our passion for business that sets us apart as a firm. Our people constantly strive to add value by fostering strong working relationships, listening critically and digging down to the core issues for each client to provide the kind of clarity and strategic business advice that takes them from where they are to where they want to be.Summer InternOur summer internship is a 4 - 6 week programme that allows you to drill down to the heart of business issues whilst working with a range of dynamic and fast growing clients across all sectors and industries.You'll gain experience on real projects for real clients. It's an opportunity to make the most of your university holidays - using the time to develop new skills, add to your CV, deepen your appreciation of commercial issues, earn some money and get the opportunity to fast track to our graduate programme. We look to convert 100% of our summer interns to graduate trainees should you perform well throughout your time with us.Dependent on the division you join, examples of work could include:• being part of a Grant Thornton team working at a client site to assist in the completion of an audit • assisting with accounts preparation for a client• assisting in the completion of tax returns and audits• helping the departments in project work• work shadowing staff from different business areas• achieving deadlines and understanding commercial impact of time spent in terms of productivity, recoverability, fee income and client serviceWe hire summer interns into our Audit, Tax, Business Risk Services, Actuarial and Recovery departments across the vast majority of our offices nationwide.Skills: Can you work out what differentiates Grant Thornton for you and for our clients? Have a passion for business, not only ours but those of our clients? Have evidence of skills such as organisation, leadership, building client relationships and commerciality? If so, then apply! Number of positions available: 75How to apply: For further details or to apply, visit /graduatesWebsite: /graduatesRecruitment website: /careersClosing date: 29/02/2012Bentley Motors LimitedBentley Motors manufacture handcrafted motor cars in Crewe, England and have a rich heritage of 90 years as a pinnacle, British automotive marque.Industrial Placement ProgrammeOur Industrial Placement Programme is designed to meet the needs of undergraduates working in industry as part of their university degree programme and normally lasts for 12 months.We offer the invaluable opportunity to learn and develop your own competencies and behaviours and to improve your communication and team working skills whilst also gaining a solid understanding of what it takes to be the best in your field.We want you to get the most out of your time at Bentley so when you start you will sit down with your placement manager and discuss your objectives – both business and personal. You will then have a set of deliverables over the 12 months, which will really challenge and stretch you, so that at the end of the year you have developed both professionally and personally.We encourage our best undergraduates to develop lasting relations with Bentley and a successful placement may lead to a graduate placement or a full time position. Yet only the most enthusiastic, accomplished students will be considered.Skills: You should have well-developed problem solving and analytical skills, possess good interpersonal skills, technical ability, initiative and the enthusiasm to achieve.Qualifications: You should be expecting to achieve a 2:1 degree classification in a relevant degree to the function you are interested in. For example, for Engineering placements you would be studying Mechanical, Electronic and Electrical or Automotive Engineering which is accredited by the relevant professional body (IMechE or IEE); for Finance placements you would be studying Accounting and Finance and so on.As a minimum, you must have passed all previous years at University and be expecting to achieve a 2:1 or above at the end of your course (you will be required to prove this should you be successful through the assessment stages). German would be an advantage as our parent company is Volkswagen AG and we encourage all Industrial Placements to learn German through our evening classes whilst on placement.Number of positions available: 18How to apply: Please visit for more information and to complete an online application.Website: Recruitment website: Closing date: 04/01/2012National Grid UKWe believe in the power of action.We are committed to being innovative, taking responsibility, and driving initiatives which have a positive impact – on the environment, on peo ple’s lives, and on careers. What you say will be listened to. What you want will be considered. What you do will get noticed. If you believe, you can achieve. Opportunity is here. All you need to do is take it.One of the world’s largest investor-owned en ergy companies, we own and maintain the ‘grid’ of towers (pylons) and gas pipelines which carries power across Britain. We also own and manage four of the country’s eight regional gas distribution networks. We’re responsible for all electricity transmissio n in England and Wales, as well as for Great Britain’s gas transmission in its entirety. Though our work is vital to millions of people and industry, we don’t generate energy or supply it direct. Instead, we transport it, making it available to energy retailers.Finance Industrial PlacementsAn Industrial Placement is a great way to develop real experience of working in a large organisation like ours. More than that, it gives you a real taste for what the future could hold; and like many others before you, it could be the first step in a career with National Grid.We are looking for a key player in driving the business to deliver its strategic direction, playing a business partnering role to make a real difference within a challenging and ever changing business environment.We have finance placements for students who are in their penultimate year of their degree and are taking a year out to work in industry as part of a sandwich course. These could be in Finance, Mathematics, Accounting, Accounting for Management.During your year, you typically work within one area of the business but get to understand the broad range of the business, which could have a fundamental impact on your future career decisions.You will be working on real projects with experienced people, gaining the kind of experience that provides a great platform for your career.Available project opportunities:• Transformation projects• Capital investment projects• Modelling new regulatory arrangements• Risk analysis• Business plan s ubmissionsWe also provide training – a two day development workshop that focuses on helping you better understand your skills, improving your effectiveness and planning your development.There are also other opportunities to develop your skills and experience. This could be educational visits to other parts of the business or networking with colleagues to understand more about a particular aspect of National Grid.Many Industrial Placement students go on either to join our Graduate Development Programme or move into positions within the business.Qualifications: On track for a 2:1 (minimum) degree in Finance or Business.Number of positions available:How to apply: Apply online at Website: Recruitment website: /freshtalentClosing date: 29/02/2012PricewaterhouseCoopers LLPWe help organisations the world over measure their financial performance and improve the way they work. Our clients range from public and private companies to governments and charities. And we’re ambitious to grow both our traditional areas of strength and those we’re fast expanding into. If you’re serious about a career in business, we don’t believe anyone else could give you a better start. And we’re proud to sa y that students agree, voting us number one in The Times Top 100 Graduate Employers survey for the last seven years in a row.Summer InternshipsInsight Internships If you’re in your penultimate year, build your skills and your confidence by working alongside specialists in your chosen business area for six weeks during the summer. There might be a chance to pick up some international experience in an overseas practice and you could even go back to university with a firm graduate job offer.On our summe r internship programme, you’ll experience work and life at PwC, and gain a valuable insight into our business and culture. We have a limited number of internship opportunities in the same business areas as our graduate training programmes:• Assurance• C onsulting• Tax• Financial Advisory• ActuarialWhichever business area you choose, you'll get a real taste of life at the heart of the firm, working alongside graduate trainees and experienced professionals on live and interesting client projects What makes us different:In short, this is your chance to enjoy a huge variety of experiences, develop an enormous breadth of skills and build relationships that will stay with you throughout your life. Like all PwC people, you can also look forward to a competitive salary and a personally tailored benefits package.Skills: Equally important will be your ability to build relationships, to put yourself in others’ shoes and make a positive impact on our clients and us, while shaping your own future. Qualifications:• On course for a 2.1 or above in any degree discipline• A UCAS tariff of at least 300 (or equivalent)• For Consulting, you’ll need a UCAS tariff of 340 or equivalentHow to apply: Start the ball rolling at /uk/careersWebsite: /uk/Recruitment website: /uk/careers/Closing date: 30/04/2012AsdaRetailFinance Industrial PlacementThis is a 12 month placement within the Finance function at ASDA’s Head Office based in Leeds, starting in July 2012. This is a great opportunity to join over 2,500 colleagues, who take great pride in providing world class support to our customers and stores across the UK.Role ResponsibilitiesYou’ll join our Business Accounting team supporting financial control and reporting right a cross the Asda business. Focusing on financial analysis, it will ask a lot of your problem solving and communication skills. You will gain an understanding of our business, our people and our culture. Combined with the opportunity to gain real commercial skills, a work placement is a fantastic way to experience the business world.The finance function within Asda is well integrated into the business and from the outset you’ll be given responsibility to deliver crucial business tasks and have the opportunity to make a lasting impact on the business. You will have regular interaction with senior managers across Finance and will be involved in cross functional projects aimed at improving financial control and business performance.As you progress, you can expect regular reviews offering advice and support on your performance to help ensure you’re moving in the right direction.Skills: We are looking for exceptional under-graduates who are passionate about a career in Finance, have strong communication skills and a real commitment to personal development. If you’re the type of person who’s a real team player and believes that virtually anything’s possible - the chances are ASDA finance is the place for you.Qualifications: This should qualify as your university industrial placement and you should be expecting at least a 2.1 Honours degree (any discipline) to apply.How to apply: via website www.asda.jobs/graduatesWebsite: Recruitment website: www.asda.jobs/Closing date: 01/02/2012BNP ParibasBNP Paribas Corporate & Investment Banking is a leading European investment bank with global leadership in many of our businesses. We are part of the BNP Paribas Group, one of the six strongest banks in the world, rated AA by Standard & Poor’s, and the largest bank in the eurozone by deposits. With over 19,000 employees in 53 countries, we can offer you a truly global career. Premium Pricing / Sales AssistantIn the Premium team, you will assist the Sales-Pricers in their daily tasks, including:• Ans wering pricing requests initiated by sales and structurers.• Interfacing with the traders to challenge pricing parameters.• Developing pricing and hedging methods.• Interfacing with the sales to promote new products.• Drafting termsheet, marketing supp ort and presentation.• Receiving phone calls from clients.Skills: • Strong background in mathematics/finance.• Interest for financial markets and its current trends.• Good interpersonal skills.• Fluent in English.• Good knowledge of systems and st andard software.How to apply: To apply visit the website at • Select "apply now", then "start a new application here."• When you reach the career choice-First preference step, in the "city" drop-down menu, choose "Paris."• In the "scheme" drop-down menu, choose "long term internship."• Then in the "department" drop-down menu, choose "Equities and Derivatives."Website: Recruitment website: Closing date: None statedLaganFounded in 1994, Lagan Technologies is the global leader in G2C (government to citizen) technology. Its solutions enable governments and citizens to communicate online, on the phone and on the move. With nearly 200 government customers worldwide, Lagan helps local governments serve the everyday interests of more than 60 million citizens.Lagan Enterprise Case Management (ECM) and Government CRM solutions have been designed to streamline the service delivery functions of government, enabling improved efficiency and more citizen-centric public services. Lagan’s solutions manage the interactions between citizens and government; providing full support for a wide variety of government service delivery processes. Lagan’s solutions offer a range of flexibl e delivery methods: on-premise, on-demand and hosted. Student Placement in Finance FPS 2012KANA, the leader in software solutions for customer service, helps the world’s best known brands master their service experience. KANA's Service Experience Management solution, a unique combination of business process, case and knowledge management, allows companies to control every step within each customer interaction to deliver the ideal service experience.Our award-winning solutions are proven in hundreds of companies worldwide, including approximately half of the world's largest fortune 100 companies including eBay, Disney and Yahoo!If you are looking for an opportunity to work with a group of dynamic finance professionals assisting with the completion and development of core accounting processes then this is the role for you. You will gain practical experience in both budgeting and forecasting whilst also being heavily involved in the completion of monthly accounts and development of other key performance indicators.The role is both exciting and challenging. We are looking for a hard working individual who can work on their own initiative and demonstrate the level of professionalism for which KANA is renowned.Key responsibilities:• Recording purcha se orders and purchase invoices.• Raising sales invoices.• Monitoring support revenue and related costs.• Journal preparation and entry.• Assisting in driving key projects as and when required.Skills: • Good IT skills and experience in the use of Mi crosoft Excel.• Team player with good communications skills.• The ability to work to tight deadlines.Qualifications: Currently undertaking a degree (or equivalent) in a Finance/Business related discipline. An A Level in Mathematics or Accountancy is desirable.How to apply: For more information or to apply please send a CV and covering letter to Andrea McCarthy via email: amccarthy@Website: Recruitment website: /careers-overview.aspxClosing date: None statedBank of America Merrill LynchBank of America is a company of more than 280,000 associates across a global footprint with operations in more than 40 countries. Bank of America Merrill Lynch is part of Bank of America, a financial institution serving individuals, small and middle market businesses and large corporations with a range of banking, investing, asset management and other financial and risk-management products and services.Bank of America Merrill Lynch is leveraging its powerful global franchise to deliver strong results throughout EMEA. We are building momentum, increasing market share and growing revenues. We are taking a strategic and measured approach to our international development by strengthening our platform and infrastructure to create sustainable, long-term growth.Join us, and you’ll be integral to our growth agenda. We’ll give you the highest level of training and mentoring support. Our commitment to improving the quality of life within our communities and to the environment means you can get involved in a number of corporate social responsibility initiatives too. And our diverse associate base means you’ll be working with people with broad-ranging experiences, perspectives and backgrounds. In short, it’s all here for graduates who want the freedom to shape their own lives, their own careers and their own destinies growing into leadership roles.Technology Fixed Term Placement Programme 2012How far do you want to go? As one of the world’s largest financial institutions, Bank of America Merrill Lynch has the strength and resources to let you carve out a career on your own terms – one of promising opportunities and development; a place to collaborate with experts and senior leaders on projects that will change our business.Technology embraces everything we do. From trading and research applications, sales, trade processing and risk management to portfolio management, payment services, security analytics and relationship management, being at the cutting edge of technology is essential. In order forus to maintain our market-leading position, we know we have to take on the right people and give them all the support they need to succeed.This is why we’ve developed technology programmes that allow you to work with the latest hardware and software, as well as some of the smartest people in technology. The global nature of this function will also allow you the opportunity to travel, work and interact with colleagues all over the world.At Bank of America Merrill Lynch, we encourage a diverse, inclusive workplace. This gives us the business advantage of understanding and meeting the needs of our diverse clients and shareholders, and provides fresh ideas and perspectives, which promote ingenuity. We strive to empower all employees to excel on the job and reach their full potential, and reward and recognise individuals based on performance and results.We are looking for ambitious technology graduates to work with the latest technology and the smartest people at the heart of the financial world. And we mean world. The global nature of our technology function will allow you the opportunity to work and interact with colleagues across the globe. There are two different paths that you can follow – the Technology Developer & Analyst route, or the Technology Infrastructure route.• Technology Developer & Analyst ProgrammeSitting within one of four divisions, on this programme, you’ll design, develop and deploy state–of–the–art applications. You will also analyse and test some of our most complex technology platforms.• Technology InfrastructureAs a part of this scheme, you’ll participate in design, development and implementation, as well as evaluation of complex systems and applications that affect our entire business. Collaborating on global projec ts, you’ll support process improvements and ensure delivery requirements are met. We’ll feed your appetite for learning through:• Extensive induction and training programmes throughout July and August.• Dedicated learning curriculum covering both techni cal and soft skill training.• Networking with senior leaders and mentors.• For the most ambitious and the best, the opportunities are immense.Skills: Combining an analytical mind with communication and problem-solving skills, you’ll also have a passion for technology and desire to be part of a great team.For roles in our Technology Developer & Analyst programme we also require a working knowledge and passion for programming languages such as Java and/or C++.Qualifications: You will need a degree in Computer Science, Mathematics, Physics or Engineering.How to apply: Applications can be made on-line at /campusEMEAFor a full list of requirements for our roles, please consult our website.Website: Recruitment website: /campusemeaClosing date: 16/12/2011The Co-operative GroupWith 15 different businesses, 4,900 outlets, 110,000 people and a turnover of £10.4bn, The Co-operative isn’t just about food but also travel, funerals, pharmacy, legal services and much more. As the world’s largest consumer co-operative, everything we do is for the benefit of our members and the community as a whole. Yet we’re no less ambitious –we still offer the challenge you’d expect from a successful, commercial business. Whether you prefer Business Management or Finance, on The Co-operative graduate programme you’ll enjoy the depth and exposure only a range of businesses as broad and vibrant as ours can offer.Trainee Location Analysis Support Officer, Food Retail Location Analysis 2012 : Ref - COUGLASOWorking within the Location Analysis Support Team, which uses demographic and competitor information to advise the Food business on store location planning, you will be offering support to the rest of the team and be an active part of the support service that is offered to the rest of the business through demographic and competitor proximity analysis & summaries. This role plays an integral part in the long-term strategy of estate growth.You will have the opportunity to develop skills in:• Project Management• IT (Excel, databases, GIS Mapping Software)• Research• Presenting to senior managersSkills: • You will need geographical awareness and an interest in customer behaviour.• Awareness of competitor brands and concept of con venience.• Analytical thinking, and a mathematical/logical mind.• Disciplined approach to data quality.• Willing to spend time on research to back up analysis and ideas.Number of positions available: 1How to apply: To apply please visit the website atwww.co-operative.coop/Graduates/Work-placements/ to download an application form.When complete please email to undergraduates@ quoting the reference number in the subject field of the email.Website: www.co-operative.coopRecruitment website: www.co-operative.coop/graduatesClosing date: 31/12/2011BarclaysBarclays is best known as one of the world’s leading banks; a far-reaching global financial services organisation, with 147,000 colleagues in over 50 countries serving more than 48 million customers. Barclays Retail and Business Banking provides banking and credit card solutions and services to personal and small business customers.In every sector in every territory, we aim to provide offer a suite of innovative, valued, relevant products and services that help our customers achieve their goals in life. For instance, when our customers in Africa couldn’t access their bank accounts through traditional means, we launched mobile banking to provide anytime, anywhere access. And we’re pio neers in the exciting field of contactless payment technology, which is allowing our customers more freedom and convenience than ever.Technology Summer Internship 2012Eight weeks with Barclays is much more than a great way to spend your summer. It could also be the start of a journey that takes you all the way to the top of a global financial services powerhouse.In the first instance, this is an opportunity to immerse yourself in our business and see whether what we do is what you want to do in the long term. But looking a little further ahead, if we decide we’re right for each other and you return to Barclays for our leadership programme, you’ll find yourself on the career equivalent of an express elevator to the top floor.If you’re a high-achieving technology student, an internship here could see you spend the summer in our UK Technology strategic hub at Radbroke Hall in Knutsford, Cheshire; in our global HQ in Canary Wharf; or in another UK location. Whichever site and Technology function you work in, you can expect to interact with senior stakeholders as you get to grips with an exciting, challenging technical project that brings real value to the business. To give you an idea, here are someprojects recent interns have worked on:• Joining a c lient solutions project team, working with the business to understand objectives, translating them into project plans, then playing a vital delivery role.• Designing user-friendly front-end tools to share management information data and automating current MI reporting.• Managing a portfolio of project managers and a budget allocated to internal IT projects, and improving the efficiency of project initiation.• Delivering a functioning intranet site on time, on budget and to the highest standards of quali ty. Qualifications: On track for 2:1 degree (minimum) in a computer science, IT, maths, engineeringor scientific discipline and 300 UCAS points.How to apply: Apply online at Website: Recruitment website: Closing date: 30/12/2011。